I hate to say it, but you would be better off with virtually any other camera. For sports, you won't be able to get anywhere near close enough with a 50mm lens. On the flip side, focusing will never be an issue because you're hyperfocal at that distance at any reasonable aperture. The skew also makes dslrs inappropriate for sports, unless you're okay bringing along a tripod (which you should do, anyway).
The 50mm f1.8 will do reasonably well for talking heads, but the kit as a whole is completely inappropriate for your listed purposes. Difficult to use at all, impossible to use well. Do yourself a favor and pick up a low end prosumer ($1000, anything with a good mic input) video camera instead and get far superior results with much less effort.
dSLR video, unless shot with a tremendous amount of skill and knowledge, which takes years to accrue, is wholly inappropriate for documentary, sports, etc. and the lenses you list (50mm f1.8; kit lens) are inappropriate for video except in a very limited context. You'll have no trouble with the talking heads (again, assuming you have a background in video and photo), the rest Spielberg couldn't make work with that gear. You'll need a technical background to do good work with any camera, but at least it will be possible with a video camera that has proper automatic options, a proper zoom, proper audio, proper built-in nds, proper monitoring, a relative lack of skew and aliasing, etc.
Also consider that the sound is very poor on the t2i and you'll absolutely need an external mic recorder or external audio device and a microphone to record useable audio; the cost of that set-up exceeds the price of the camera. dSRLs as video cameras are deceptively expensive. The camera itself is cheap, the cost of turning that into a capable video camera, not just an "oh cool" gimmick, is high in terms of effort and accessories alike.