This may help:
I can see why you want to use the switch-case structure, as you have lots of different modes.
I'd recommend you break your code up into functional modules, eg
void countPushup()
{
a ++; //print a point if a pushup has been done
Serial.println(a);
BT.println("Push-Up");
BT.println("Counts:");
BT.println(a);
lcd.clear();
lcd.setCursor(3,0);
lcd.print("Push-Up");
lcd.setCursor(3,1);
lcd.print("Counts: ");
lcd.setCursor(10,1);
lcd.print(a);
yellow_blink();
}