It sounds from what you say that you have a brake or ABS issue here. The traction control light and ABS light both need a signal from the ABS sensors in order to extinguish, the handbrake light normally doubles as a brake warning light. If you are having to pump your brakes to make them effective, I would suspect an issue with either the master cylinder or the ABS pump or accumulator. When you switch the car on (not starting engine) do you hear the ABS pump kick in and does it stop after a while? If so, start the engine and press the brake pedal, does the pump run again, normally it would take a few full presses of the brake pedal to get the pump to work again and top up the lost pressure in the system.