@Stroje The threaded rod will not rotate, it will jut move up and down. If the large gear is turning, and the rod is not moving, it would mean a stripped nut. This is very unlikely.
My guess is that it is moving REALLY slowly. Perhaps try extruding a long length (or many small) and make a small mark on the rod to see if it moves. The setting of 2-3k for EEPROM may be to low, try increasing this until the motor stalls.
Typically, the large gear should move about 1 RPM (ish).