since I'm starting doing similar pens myself, I totally apreciate the effort here. very well done.
my comments would be that it seems there are too many threads , even if this is triple start die/tap, I count some 12 revolutions, which I think would indicate that you wpuld need to twist the cap 3 full revolutions to get it closed, which might be too much.
for the white on the threads, I don't know what resin you used, but in my case, where I used acrylic or lucite, I founds that making sure that the die and blank are really well lubricated helps. also hitting the threads with plastic polish while it's on the lathe (using a soft tissue so it will reach the bottom of the threads) will take care of them.
did you thread the inside yet?