Hi Manfred, could be an adjustment of the clutch to sort the neutral problem , what type have you got fitted ,6 spring or 4 spring . In my limited experience with the 6 springer I think of them as tempermental and beyond my patience but others will be able to set 'em up and they work but I think I'm safe to say they do need more care and attention . The 4 is easier and I certainly can find neutral without any problem . You could also check the activateing arm on top of the box when pulled by the h/lever it should be stright with the edge of the box you can adjust it by means of the adjuster inside the front cover. Re the false neutrals have you topped the oil to the correct level using the level plug on the box ? also the adjuster on the bottom of the box you could try moving it in slightly from memory about 2 to 3 threads showing above the case is about right , screw it in slightly and see what difference that makes if worse back it off and judge which way could be better , please don't take offence at any of the above basically just providing some ideas , best of luck , BobH