Welcome to the Healing Well Wrapped Club! You're in the midst of the toughest time post-op, so hang in there. My surgeon explained to me that "at that stage of recovery" anything can happen. Might you have some reflux making it through a swollen, misshapen wrap? Sure. However, it's much more likely that you're experiencing pain. I was told that the esophagus is a "dumb organ" that interprets all pain as reflux. Therefore any surgical pain or irritation is sent to the brain as a "reflux message". I remember being frightened that those reflux sensations meant that my surgery was a failure. Don't worry. It's normal. My surgeon also kept me on reflux meds. It helps protect the healing wrap and keeps you more comfortable during the early recovery.
If you're taking medication, be sure to sip and swallow plenty of liquid afterward. Medication, sitting at the wrap site, can be very irritating to the esophagus. Keep in mind that your wrap will become increasingly more swollen during the first two weeks, peaking on or about Day 14 or so. Don't be surprised if your swallowing gets worse before it gets better.
Here's a link to my early recovery journal. Ignore the asthma/lung references. I had the surgery to protect my lungs from reflux. If you look past those references you can get an idea of one person's "normal" recovery.
Glad you've joined the forum. It's a great place to ask questions and get support from others who've gone through the same recovery you're experiencing.