Actually, it IS my device. It is NOT my connection though. And actually one could say that, if I make a purchase at a restaurant with WiFi, or, say, pay thousands of dollars to attend a school, then I am indirectly paying for said service. And I have every right to complain to said college, considering the exorbitant fees they charge for tuition. WiFi is technically part of those fees.
So, yeah.

That would be the second category. And as I said, you gave up your right to complain when you agreed to the ToS (it's in section 5 subsection e, clause iii

)
Supposedly the college I attend also monitors ALL network traffic, not just from the school computers, but also from private ones connecting to the network as well. And I don't just mean browsing history either, I mean that they supposedly save every single bit of data sent, from passwords and usernames to private emails sent from private devices. Computer services has been 100% silent on these accusations though, neither confirming them nor denying them.
That would be pretty much every single provider running a NIDS/NIPS (network-based intrusion detection/prevention system), it by definition monitors your traffic. Believe me, you want this, not don't want it.
Monitoring != archiving, there is a distinct difference
Also anything you send over encrypted https cannot be seen anyway, so long as you are using https (or ssl for your smtp-based email client) for your email, they can't see it. -- basically all gmail accounts and most hotmail accounts would be unreadable (all free yahoo accounts are readable in plain-text). The email protocol is inherently insecure unless you add security, so there is no such thing as private emails.
if you're worried, though, set up a VPN, not hard to do :shrug:
Although I imagine that could be filed as an invasion of privacy, all depending on if it's true or not.
Except you agreed to it all in the ToS...