Hello dstansbe,
After reviewing your post, it sounds like you want to know if you should get a protection plan for your Thunderbolt Display. I would recommend that you read these articles, they may be helpful in troubleshooting your issue.
Can I buy AppleCare Protection Plan for my product? - Apple Support
Most Apple hardware comes with Apple’s One Year Limited Warranty and up to 90 days of complimentary telephone technical support.
Do I need to register Apple accessories with my AppleCare agreement? - Apple Support
If you purchased an Apple-branded display at the same time as your Mac, it can be registered with your AppleCare Protection Plan for Mac.
Thanks for using Apple Support Communities.
Have a nice day,
Mario