My furnace recently started working again, but now the blower won't shutoff after the heating cycle is done. It keeps on going and you can still feel a little bit of heat coming from the vent or w/e (sorry for not knowing the right name for it.)Also it starts to smell like something is burning.

Just curious, on your thermostat is there a switch where you can turn the fan to "auto" or "on".

No there isn't.