Is there a way to have the checkbox deleted when data is sent, so that the same box cannot be checked again, but still allow other boxes to be checked at another time? I cannot seem to find this information.

I was looking at things like this at work today. I can't remember all the syntax without my notes in front of me but basically you manage a form with Javascript. You can get lots of sample scripts off the web but need a reasonable understaning of how the language works to tailor them to your requirements.

Re-reading your post I am not sure what you mean by "another time". If the visitor leaves the page and comes back, or even just refreshes it, everything will be reset as a matter of course.

The only way to "remember" a visitor, unless you have a subscription based site with server side scripting, is to use cookies. They are very chancy as people may block them altogether or delete them automatically when they close their internet session.