Here is my problem, and I have not found anything that helps me understand it.

When I set up an email account on the iPad, and next time I sync, the mail account does not even show up in the list of email accounts in iTunes. Also, it does not appear in Mail.
With email accounts that exist (and were set up on the Mac), they were automatically transfered to the iPad.

Where is the simple check-box or switch that I am missing?

Thanks for you help with this.