Do you have anything else installed or was the blame simply jumped to CB? You've provided no version numbers such as Joomla, PHP, MYSQL, etc.. Have you reviewed the query count with Joomla debug mode on from frontend (displays at bottom of page with query info)?

CB is not meant for extremely low budget hosting (nor is Joomla for that matter), never heard of a host closing an account regardless though due to query count. Recommend switching to a more reliable and reputable hosting solution. Free hosts are absolutely out of the question as well.

Notice the claims below your host makes for $6.95/month. They're beyond ridiculous and are methods used to lure users into false pretenses. Unlimited is NEVER the case, the bandwidth is shared among ALL the users on that server.. this could be 2.. this could be 2,000.. ALL affecting your sites performance AND security. About the only realistic aspect is unlimited emails as storage usage is little to none.

Unlimited Domain Hosting
Unlimited GB Hosting Space
Unlimited GB File Transfer
Unlimited E-mail Accounts

Your host also supports 1 click Joomla, which means they need to provide the standards to power a Joomla site (if they're threatening query cut off then they do not support those standards).

Please note am not bashing your hosting provider am simply trying to help users be more aware of their hosting environments and lure tactics many providers use!

Please do let us know if you find anything. Would be interested to see if CB has gotten more heavy sense release after release, which really is inevitable, but as far as I am aware did not gain any further queries.