Are you eating full meals, eating solid foods? It's pretty early. Did they give you a diet to follow? If not, you might want to look one up online. At only two weeks your wrap is still very swollen and could be easily irritated. It's also hard to burp up all the air we swallow with a wrap.
It's lots better to eat just a little, often. I could only handle 1/4 cup at first. I didn't even try more than a cup at a time at two weeks. I did eat every couple of hours, every hour at first.
Do you have any food intolerances? If a food or drink caused you to hiccup or burp before the surgery it will continue to do so afterward.
I'd back off on the food a bit to see if that might help.