I’m sorry you’ve hit problems here. Was this a temporary glitch? It seems fine (with regards to the original issue) when I visit it now, though I appreciate some amount of time has passed since you first posted.
Apologies also about automated updates not functioning. Unfortunately this is always a possibility though most users don’t hit any problems – I do note that the very URL you posted (which I’ll remove from your post) provides access to the PRO plugin – so whatever is happening would appear to be specific to our update engine and/or how it operates within your hosting environment.
I wonder if you might at some future point be able to test an automated update with no other plugins running and only a default, unmodified theme in place? It it worked, it could indicate that something else is conflicting, for example.