Last one is a Kiwi vine, Actinidia.

It's growing randomly in the woods. No idea where it came from. Can it be transplanted? I wonder how it got there, birds?

I can't see the size of the vine but I imagine it could be transplanted if it's not too big. However, you don't know what the fruit quality might be like on a seedling pant and you need both male and female plants to get any fruit at all.

Previous is an elm, first maybe tupelo.

First is probably actually a Calycanthus.