if your hose bursted, your brakes wouldn't work at all, because all the fluid is gone.
thats not exactly true, unless 2 or more hoses have burst. cars are still able to brake as the brake system has been designed with failures in mind.

i'd get the brakes bled and check ur new rotors for warping. also, check the caliper sliding bolts to make sure they are both moving, if one is jammed, it will force the pads on at an angle, which could cause the car to swerve under braking. and check ur hoses for crackes etc.