They're fully cooked. The smoke flavor shouldn't bother you. I ate smoked meat through my pregnancy. My husband actually smokes our chicken and ribs etc. it's his hobby so I ate it. Lol love smoked chicken!
I'd think so. They're still cooked...I think the only issue with smoked food is that it isn't actually cooked, so there could still be bacteria or whatnot. But that chicken is cooked.