Question about Cartel Market. I'm having a blast with the 12x xp which made me sub. I am still new to the game!

I have my eye on a couple cosmetic armor sets.
My question is: Do all my alts on the account get to wear them?

I've also noticed that on the collections menu, some armors have a  reclaim button on it, and some don't.

Can I correctly assume that those which do NOT have that button are not allowed to be given to alts?

Thanks!