I don't see any lagging behind right now for the ERC20 tokens as per this page:
https://www.cryptopia.co.nz/CoinInfoBut it's possible that it happened when you wrote this thread, I remember a few weeks ago there was a problem with Byteball deposits, and they were severely delayed, even after it went out of maintenance mode. Don't know what they're trying to do.
I'm not really sure what the kind of problem you are having with submitting support tickets, but even if you were able to submit a support ticket, it's unlikely that you'll get any helpful response from them in a short period of time that you would expect a normal exchange to respond to you by.