See that? I knew you'd do just fine. We build it up so much, and worry about everything, don't we. Once it's done, it's surprising how easy it was. Really, don't worry about the burping. I started with little burps right away, and worried a bit, too. I was so ready to not be able to burp (my surgeon said I wouldn't), but I was. It's hard not to start second guessing things and worrying that things aren't right, but you shouldn't. Burping is normal for some wraps, and not for others.
Also, a few weeks after surgery, I started getting heartburn sensations, but I know now that they weren't heartburn. Your esophagus is a 'dumb organ', and perceives any irritation as heartburn. Once things settled down, I never got the sensation again.
I don't know if your surgeon told you, but your wrap will become increasingly swollen during the first two weeks, then will begin to reduce after that. I noticed at Day 4, I started having some spasms, so don't be surprised if your swallowing gets a little harder as the wrap swells. it's normal.
Hope you're getting lots of rest!
Sounds like you're doing great.