Site works fine. Try it again. If it still does not work for you then try clearing out your history and cookies as they can hinder the browser from working properly.
Edit: Potentially you are missing required information. There are two required fields. I expect if one is not filed out "next" button will not operate.
Bumping this, as I would like to know which web browser is intended to be used to properly access the support website?
One one of my browsers, the login button is completely dead, there is no way to login (same issue as vgabor).
On another browser that I specifically use to access the support website, I can login and click through to raise a ticket, but now can't type anything in the text boxes. This is a recent issue.
Please advise which browser is supported, @ZOS_BillE