If Vader had Padme's japor necklace, would he give it to Luke ? (In Allegiance-verse)
Hmm, that’s a good question. On the one hand, it’s probably the only thing he has left of Padmé aside from Luke, so he might not want to give it up. But at the same time, he would probably want Luke to have something of his mother. And he made it to give to someone he cared about.
I could see him showing it to Luke, not intending to give it to him, but then seeing Luke’s awed reaction and deciding that it would be better in Luke’s keeping. And Luke, of course, would wear it tucked under his shirt at all times (unless he knew he was going to be in a situation that might not be safe for it).