The T3 is a very basic entry level camera. As you progress in your photography you find that it is missing some features that you will want to use.
I would not spend any money repairing it as it will much cheaper to buy a used one.
My advice is to buy a used 500D/T2i, 550D/T3i, or even 600D/T4i. Just get whatever you can afford. These cameras have more of the features you will need and don't cost much more.