Haney, before upgrading your brakes, when was the last time the fluid was flushed? You should flush the system and use a good DOT4 fluid (such as Super ATE Type 200). I bet the pedal travel was related to the fluid heating up. I recommend and many events require that the fluid was flushed at the beginning of the season.
As for the outer edges of the tires, did you increase tire pressure? I usually increase tire pressure to the point where it isn't rubbing onto the sides (depending on the car, it amounts to 2-5 psi more).
I use to autocross on street tires and them bought a set of wheels and DOT compliant R-compound tires (Toyo RA1 or R888, Nitto NT01s). That combines with more negative camber helped my times in a big way.