The Fresnel lens (the half dome) is part of the sensor, so it must stay attached.
You must turn the time control pot fully anti-clockwise for the shortest release time (3 sec). If you don't do that, then the sensor could stay activated for up to 7 minutes.
Leave the sensitivity control pot in the middle, where it was.
Pull up is not needed.
This simple test sketch should light the builtin LED on movement.
const byte pirPin = 2;
void setup() {
}
void loop() {
digitalWrite(LED_BUILTIN, digitalRead(pirPin));
}