Same thing happening with me. Used to have 4-5 bars now only 2 and my calls are dropping. I also can't update any apps because of the poor signal quality. What's up Verizon?!
Sounds like you both have rotten Apples. I have seen reception issues reported on this model, but not sure if Apple has a fix for it yet. If not, you may want to consider trading in for a different model if within the 14 day return window.
No solution for you but I am having the same trouble, just having switched from a 5. really disappointing since I waited for the SE to come out before upgrading. Anyone know if this is an issue with other carriers?
I've never seen so many FAILED calls as I have on this SE (after two Droid Pros, a 5 and a 5S, all on Verizon).
I also get a LOT of complaints that I can't be heard. People hang up on me because they completely cannot hear me with incoming or outgoing calls. If I use Speaker or Headset, this isn't a problem.