The burned resistor is common in that location, I replaced mine with a 1/2 watt size but I don't remember the value ( i believe the values vary from revision to revision ) and I no longer have the machine it was in. Replacing the resistor will unlikely fix that problem.
The symptoms you describe sound to me like it's caused by a weak/under-powered power supply or one that is just about to die. Check the voltages with the PSU under load. I've had the same problem in a couple of systems where lines would appear on the wb screen caused by dragging & resizing windows, hd activity caused it too. The symptoms seemed to increase as I added more to the system.. at least they did in my case.