Question with Case Select and button push trigger

I need some help with a project. It is using some LED NeoPixles and a push button to cycle through the different animations.

Right now when the program starts nothing happens. The LED's don't light up, and that is what I want. When I push the button once it moves to Case 1. In this case I want it to keep repeating the "swordPowerUp" animation, but it only runs once. When I put it in a while loop, I can't get it to exit on a button push, to move to Case 2.

Here is the main loop.

    case 1:
      {
        int var = 0;
        while(var < 1){
          colorWipe(strip.Color(11, 222, 222), 15); //Default Blue for Power On.
          strip.show(); 
          var++;
        }  
        SwordColorUp(strip.Color(249,185,255), strip.Color(249,185,255), strip.Color(249,185,255), wait_T, PixelCount, Pixel_Start_End);
        Serial.print("Sword Color up");
        delay(wait_T);
        SwordColorBase(wait_T, PixelCount, Pixel_Start_End);
      } 
      break;

Another issue is once I get it to "Case 2", i then have to press the button twice to get it back to "Case 1" I am assuming that this is because the default case is to have no lights running. Is there a way I can move from "case 1" to "case 2" and back to "case 1" without pressing the button twice from "case 2"

Here is the full project code if it helps.

#include <Adafruit_NeoPixel.h>


//Settings:
#define PIN 6 //The Pin out your Neopixel DIN strip/stick is connected to (Default is 6)
#define TPIXEL 35 //The total amount of pixel's/led's in your connected strip/stick 
//To change the timing of between pulses change the number in int 'refresh', to change the speed of it scrolling change the number in int 'wait_T' and 1000 is equal to 1second. 
int wait_T=40; //This is the delay between moving back and forth and per pixel
int refresh=400;
int PixelCount=35; //Set this to the AMOUNT of Led's/Pixels you have or want to use on your strip And It can be used to tell where to Stop then return the eye at in the strip
int Pixel_Start_End=0; //Set this to where you want it to Start/End at
boolean UsingBar = false; //Set this to true If you are using the 8x1 Neopixel Bar Or you want to only use 3 leds for the scanner. 

Adafruit_NeoPixel pixels = Adafruit_NeoPixel(35, PIN);
Adafruit_NeoPixel strip = Adafruit_NeoPixel(35, PIN, NEO_GRB + NEO_KHZ800); //Standered Strip function

//
// RF Pins
//


const int buttonPin  = 2;     // the pin that the pushbutton is attached to
int buttonState      = LOW;     // current state of the button
int lastButtonState  = LOW;     // previous state of the button
int  pixelState = 0;
int debounce_count = 2; // number of millis/samples to consider before declaring a debounced input

void setup() {
  strip.begin();
  strip.show(); // Initialize all pixels to 'off'
  // read the pushbutton input pin
  pinMode(buttonPin, INPUT_PULLUP);
 }

void loop() {

  // read the state of the switch into a local variable:
  buttonState = debounceRead(buttonPin);
  Serial.print("ButtonState: ");
  Serial.println(buttonState);
  Serial.print("LastButtonState: ");
  Serial.println(lastButtonState);
  Serial.print("showPixels: ");
  Serial.println(pixelState);
  // compare the buttonState to its previous state
  // compare the buttonState to its previous state

  if ((LOW == buttonState) && (buttonState != lastButtonState)) {
    pixelState = (pixelState + 1) % 3;  //can have values of 0, 1, or 2
    
    switch(pixelState)
    {
    case 1:
      {
        int var = 0;
        while(var < 1){
          colorWipe(strip.Color(11, 222, 222), 15); //Default Blue for Power On.
          strip.show(); 
          var++;
        }  
        SwordColorUp(strip.Color(249,185,255), strip.Color(249,185,255), strip.Color(249,185,255), wait_T, PixelCount, Pixel_Start_End);
        Serial.print("Sword Color up");
        delay(wait_T);
        SwordColorBase(wait_T, PixelCount, Pixel_Start_End);
      } 
      break;
    case 2:
      {
        ReverseColorWipe(strip.Color(0, 0, 0), 15); //Set lights to off.
        strip.show(); // Initialize all pixels to 'off' 
      }
      break;
    default:
      break;
    }
  }
  lastButtonState = buttonState;

}


uint8_t debounceRead(int pin)
{
  uint8_t pinState = digitalRead(pin);
  uint32_t timeout = millis();
  while (millis() < timeout+10)
  {
    if (digitalRead(pin) != pinState)
    {
      pinState = digitalRead(pin);
      timeout = millis();
    }
  }

  return pinState;
}
void colorWipe(uint32_t c, uint8_t wait) {
  for(uint16_t i=0; i<strip.numPixels(); i++) {
      strip.setPixelColor(i, c);
      strip.show();
      delay(wait);
  }
}


void ReverseColorWipe(uint32_t c, uint8_t wait) {
  for(int i=(strip.numPixels()-1); i>=0; i--) {
      strip.setPixelColor(i, c);
      strip.show();
      delay(wait);
  }
}

void SwordColorBase(uint8_t Delay, int TotalPixels, int pStart) {
  for(int i=pStart; i<TotalPixels+2; i++) {
    strip.setPixelColor(i, strip.Color(11,222,222)); //Sets the dots to blue
     strip.show();
    //Serial.println(i); //Used For pixel Count Debugging
    //delay(Delay);
  }
}
void SwordColorUp(uint32_t Co, uint32_t Ct, uint32_t Ctt, uint8_t Delay, int TotalPixels, int pStart) {
  for(int i=pStart; i<TotalPixels; i++) {
   if(!UsingBar) { strip.setPixelColor(i+2, Ctt); } //Third Dot Color
    strip.setPixelColor(i+1, Ct);   //Second Dot Color
    strip.setPixelColor(i, Co);     //Center Dot Color
    strip.setPixelColor(i-1, Ct);   //Second Dot Color
    if(!UsingBar) { strip.setPixelColor(i-2, Ctt); } //Third Dot Color

    if(!UsingBar) {
      strip.setPixelColor(i-3, strip.Color(11,222,222)); //Clears the dots after the 3rd color
    } else {
      strip.setPixelColor(i-2, strip.Color(11,222,222)); //Clears the dots after the 2rd color
    }
    strip.show();
    //Serial.println(i); //Used For pixel Count Debugging
    delay(40);

  }
}
void SwordColorDown(uint32_t Co, uint32_t Ct, uint32_t Ctt, uint8_t Delay, int TotalPixels, int pEnd) {
  for(int i=TotalPixels-1; i>pEnd; i--) {
    if(!UsingBar) { strip.setPixelColor(i-2, Ctt); } //Third Dot Color
    strip.setPixelColor(i-1, Ct);   //Second Dot Color
    strip.setPixelColor(i, Co);    //Center Dot Color
    strip.setPixelColor(i+1, Ct);  //Second Dot Color
    if(!UsingBar) { strip.setPixelColor(i+2, Ctt); } //Third Dot Color

    if(!UsingBar) { 
      strip.setPixelColor(i+3, strip.Color(0,0,0)); //Clears the dots after the 3rd color
    } else {
      strip.setPixelColor(i+2, strip.Color(0,0,0)); //Clears the dots after the 2rd color
    }
    strip.show();
    //Serial.println(i); //Used For pixel Count Debugging
    delay(Delay);
  }
}

void startSparks (){ // Random sparks - Should loop 30 times
      int i;
      int p;
      for(i=0; i<31; i++) {
    p = random(TPIXEL);
    pixels.setPixelColor(p, 0xFFFFFF);
    pixels.show();
    delay(50);
    pixels.setPixelColor(p, 0);
      }

}
void Sparks (){ // Random sparks - just one LED on at a time!
      int i;
      int p;
    p = random(TPIXEL);
    pixels.setPixelColor(p, 0xFFFFFF);
    pixels.show();
    delay(5);
    pixels.setPixelColor(p, 0);
}
int var = 0;
        while(var < 1){
          colorWipe(strip.Color(11, 222, 222), 15); //Default Blue for Power On.
          strip.show(); 
          var++;
        }

What's the point of the "var" flag?
Did you mean for "var" to be static?

Var was just a interger I declared to run the colorwipe loop only once. Then it should run the swordpowerup in a loop until the button is pressed to move to the next case.

Another issue is once I get it to "Case 2", i then have to press the button twice to get it back to "Case 1" I am assuming that this is because the default case is to have no lights running. Is there a way I can move from "case 1" to "case 2" and back to "case 1" without pressing the button twice from "case 2"

Because pixelState has three possible values (0, 1 & 2). When you press the button once it's trying to get to case 0 (which you haven't coded for) and needs another button press before it goes on to case 1.
Try adding:

case 0:{
 pixelState ++;
 break;
 }