This FAQ was last updated: Dec 12, 2014 Views: 317
To check your account, log into the library from the link on the homepage that has the label "My Account and Renewals".
When you log in you'll see any items that are checked out to you and when they are due. You can renew from here too. If nothing is listed, then everything is checked in.
The first part of your question is "How can I check my borrowing history".
The simple answer here is you can't. Borrowing history is erased when your item is checked in. There is no way, for example, to see what titles you checked out last year. (That is unless the items are that late).