MacBook Pro heat problem
It sounds like the fall may have damaged the fan. That would account for the heat and the noise. It's also possible the heatsink got slightly dislodged, which would also cause heat issues (although likely more severe).

In any event, unless it's clearly an unrelated problem (like a firmware or software bug), this damage is almost certainly not covered by Apple's warranty, as it's the result of an accident, not a part failure. However, from time to time Apple has been known to waive the repair charges on incidents that fall outside warranty coverage, although it seems to be on a case by case basis, and only with a bit of luck.