Hi Brad Mason,
Welcome to the Apple Support Communities!
I am glad that your MacBook Air can connect to the internet using your Time Capsule but I can understand the frustration of not being able to print or back up using Time Machine either. For setting up your printer, I would suggest working through the first attached article.
Mac Basics: Printing in OS X - Apple Support
For making sure that your computer is set up and backing up to Time Machine correctly, I suggest reading over and working through the next attached article.
Mac Basics: Time Machine backs up your Mac - Apple Support
If after verifying that your computer is set up with your printer and Time Capsule correctly you are still having issues, please let me know what errors you receive or what happens when you attempt to print or back up your computer.
Cheers,
Joe