ABS light indicated a minor ABS problem, handbrake light could be either sticking handbrake switch or a major ABS problem. Mine was on when the wired on the front sensors had been rubbing against the wheel and caused them to short out.
The cutting out could be lots of things, start off with the free stuff like throttle body cleaning and earth points overhaul. Then move on to electrical stuff like the ECU relay (which is one of the most common cutting out causes) and fuel pump relay. If that doesn't help I'd get myself a copy of vagcom off ebay for a tenner and scan for fault codes, if it's an electrical issue it will point it out, if not then you know it's a mechanical problem. Also, check your vacuum pipes, although they shouldn't really cause cutting out.
G' luck