This sounds like a weird issue. I just recently used the “Contact Support” option and it worked fine. Have you tried a different browser?
Also, you can view your Contact Support history in your Control Panel, so even if you are unable to get an email, you can still see their reply.
Their support is not the most…immediate… thing, but I find putting in a ticket with a clear description of the problem, and then posting the same description of the problem here in the Forums has always solved my issues one way or the other. Sometimes support will respond to the ticket and also to my forum post.