A few issues.....
 

1/ Cannot assign doff to active space slot, only seems to be 1 specific doff as others seem to be ok. And only on 1 char.

2/ Cannot customize my new ship, have tried repeatedly but to no avail, remains stock standard no matter what.( heavy cruiser )

3/ Was affected by the unable to assign boff issue, but after reading about the ship swap solution is no longer a problem, but is anyone else experiencing problems 1 and 2?

Are you sure you aren't trying to slot a doff from the wrong faction?

On the ship customizations screen did you actually click purchase and not just save?

Same issue here for #2 problem. Any Ideas?