Default [Q] Switching from VZW to TMo?

Hello,

First and foremost I'd like to say .... Man, it feels good to be back. I left Android for a few years due to battery issues. I just left VZW and switched from a iPhone 5 to a Note 3 on T-Mobile. My wife has a VZW HTC One (M7) and I was told it would work on TMo, so far we are having no luck getting anything besides Edge. Sorry if already posted but I did look around to try to find an answer. I have spent time talking to VZW, TMo and HTC and no luck. Will rooting give me the ability to fix this?