One way to hone the home
position is to attempt a 1 star alignment. Don't use the keys but release the clutches to centre the star. Then tell the mount to park. This will take it back to what it thinks is the home position. Turn it off and start again for a 3 star alignment. It should be much closer with the first star.
Make sure that you have the correct time, time zone and date registered with the hand controller. I found that it didn't always pick up the correct time zone even when it had been entered.
Good luck.