Yes, the Zoom H4n is a "go to" audio recorder for many indie filmmakers. It will get you off to a good start, audio-wise.
If you're trying to keep the cost down, a Canon T2i would be a better choice than the T3 due to its ability to shoot 1080p footage. The T3i, an even better choice than that, in that has more features that would appeal to a videographer. It all just comes down to how much you're looking to spend, and what you're trying to achieve.
If you have no experience at all with filming, I would probably suggest suggest going with a Canon HV-20, as they're less prone to difficulties with new operators, but still give a great picture at 1080p24. You can pick one up used or refurb on ebay for under $500.