Ok so i went to the sneak prievew, got some really nice cards. So far i got my hands on 3 gemini summoners,butterfly and most of the commons that came with the prievew. Im just a tad confused on some of the rulings for them. Just some minor details.

Cards like Birthright when i activate that on a gemini monster in the graveyard and it becomes an affect monster on its 2nd normal summon, and if Birthright happens to be destroyed the gemini monster stay out? I figure seing as hes not a normal monster anymore?

Considering you are "re-summoning" the monster, it would lose any connection with Birthright.