Nope, there is nothing wrong with your set. Do not adjust the controls. On Verizon you can't talk and surf at the same time. You need to be on AT&T for that.
I'm grandfathered in a good plan but with AT&T you can't FaceTime unless your on wifi or pick a shared plan. Do you think Verizon will eventually allow that capability?
The iPhone 5 has only two antennas, unlike the other Verizon LTE phones that have three. Verizon says that their system will be able to accommodate the present iPhone antenna layout in a couple of years, but we'll see.