I think in one of the movies one of the Jedis calls the blasters clumsy or ugly or something. They're looked down upon as too easy or low class.
Also if you just have a blaster, then you can get shot. With a lightsaber you can block shots at you, and also block force lightning.
Obi-Wan Kenobi calls a blaster "so uncivilized" as he throws one away, after using it to kill General Grievous in Episode III: Revenge of the Sith[1] (see time mark 6:17).
After watching the whole thing, the winner can say that. None of that was "civilized"
They probably would be, but presumably you'd run out of "bullets" pretty quickly if you were trying to block other bullets. Plus, a "blade" is probably more useful than a gun in most cases (e.g., breaking down a door.)
I think that they are. (Can you think of any in-universe proof they are not?) Blasters are less versatile than light sabers, though, so they carry light sabers.