ok , i understand what is happening !!
the point on the tail piece is getting lost in the 'through hole' drilled in the stock

ok a cure ,
get a piece of drill rod , same size as the largest diameter if the 'point' . they can be driven out of the tail stock ..
trickey part .. y
ou have to put a taper on the drill rod to match what is on the 'point' ... i did mine using a belt sander and grinding it down a little at a time .
ok now you should have a piece of drill rod with a taper on the end that matches the one on the 'point'. it needs to fit in the tail piece where you took the old one out of
second trickey part ... you need to make the drill rod the length you want to stick past the ridge on the tail piece , cut it an either put another point on that end or just make it the size of the hole you drilled in the stock ..
hope this makes sense ..
derf