My surgeon told me to let it come off on it's own, regardless of how long it took. Mine came off just over a week post-op due to a combination of sweat and showering. I'd leave it on. If you're going to fiddle with it, do it in the shower where the adhesive can break down easier and won't pull as much.
I'd also check with your surgeon about how soon is too soon for scar products. I didn't use any, so I'm not sure. But you're still pretty fresh at this point, so I wouldn't go putting anything on there just yet.