2009 Volkswagen Rabbit stability control problems

The ABS, brake, and stability control warning lamps came on during a scary event on the expressway. I hit the brake pedal hard and quickly turned the steering wheel in order to avoid hitting a car that swerved across two lanes and cut in front of me. The ABS and stability control systems failed, but the hydraulic brake system worked like a car without electronic controls, so I was able to control the car while braking and steering near the traction limit.

When driving, my 09 rabbit, the power staring light will flash yellow to red and then stay red, I'm jerked to the side, right and left . On some occasions when making a right turn, it feels as though I'm being sling shot forward, I have a terrible wobble and when this happens I cannot accelerate over 45 without the car sounding like a helicopter, my AC and ABS light will flash on then off sporadically. My transmission slips periodically and this happens regardless if I'm on the highway or city streets.