First of all, you can only sync mail if you have an IMAP email account. You cannot sync email messages from the Mac to the iPad. That action only takes place if your email is an IMAP account so it has nothing to do with the Mac or syncing with iTunes.
You can sync your calendar with iTunes without having to sync anything else if you don't want to sync anything else from iTunes. ITunes is a software on the computer and the conduit through which syncing takes place, when you say you don't want to sync iTunes, I assume that you are talking about Music.
You can download an app called Printopia for the Mac that allows you to use your Mac as the print server and you should be able to use your current WiFi printer.
There are other ways to print using other apps from the App Store, as well.