There's no rule of who should or shouldn't use DSLRs. In fact the appeal of them is that they are a (consumer level) tool that provides the ability to produce great cinematic looking video at a fraction of the price of actual cinema cameras. So if anything, most kids on here (including you) are perfect candidates to be using DSLRs. Yes, they can have a steep learning curve and have some limitations/drawbacks, but the learning process is part of what makes filming enjoyable.
To the OP:
It would help if you fill out the sticky: https://newschoolers.com/ns/forums/readthread/thread_id/552650/
But your decision to choose a DSLR or dedicated video camera really depends on your budget, your style of filming, and what you want your final product to look like. A lot of the time DSLR's can require a bit more work to get good shots, but IMO the image they can put out is better looking than video cameras in a comparable price range (HVX200, HMC150, etc). If you are willing to put in some extra money for accesories, and extra effort while filming, in order to achieve a more cinematic look, then a DSLR is a good choice.
Also, a t2i is not the only video DSLR out there. This link will help you to weigh the options should you decide to go the DSLR direction:
http://philipbloom.net/2011/03/17/whichdslr/
