Very odd. What browsers have you tried so far?
(This is on Firefox) When you go to Chat for the first time, you haven't created an account yet, so what you see should be something like this:
The buttons you mentioned seeing are not here, so I assume you managed to get to the next page as a guest.
Normally you'd see this:
Now we see the Back and Close buttons.
Did you try entering after creating a Chat account? If you managed to get to the second page on a Chat account (not guest), did you see a third button on the top, that goes to Profile?
If worst comes to worst, you'll have to settle with refreshing the Chat History window regularly to keep up with what's going on
http://elementschat.co.cc/history.php?room=1 (
http://elementschat.co.cc/history.php?room=1)