Is today your PIF date? Some cruises are less than that. Are you concierge? A cruise of 10 days or less from a US port (non-concierge) PIF date is 75 days out. You may have time to work it out.
I'd probably call
DCL, and ask to speak to a supervisor. Tell them that you're aware that you have to work through your TA, but your TA is unavailable until (whenever), and you're concerned that the DCL site seems to be saying that one of your room isn't paid in full, but the TA's site is saying it is.
Hopefully, they can start a file on what's going on so a resolution can be found. Soon.
Is this a big name TA (one that has a good history of working well with their customers? I certainly hope that it's not a case of taking your money and running.