At first glance, I thought the first picture was a dwarf crape myrtle, but then I wondered why would it be trellised?
I don't have a clue as to what the second one could be, either, but it sure is pretty!
I would keep it even if I found out it is a weed...
Hopefully, someone will wander in that can identify both for you. Hmmm... Wonder if Sarah has seen this post? At least, I will be bumping this up and getting it some more attention, whether I can identify it or not!