I am not aware of a bergschrund forming beneath the old chute so you shouldn't have issues descending there. One almost surely extends under the Pearly Gates right now and might be easy to cross or end run but I'd avoid a downclimb of that if you haven't looked or don't get a report.
There is likely an open 'schrund at the head of the Reid right now, as well as other open cracks. If you go up the Reid post a TR, I'd love to see what it looks like this early.