Just skimming back through the thread here's SK's suggestions:
Hi guys, it is not impossible that is is a bad component, but (based on my experience) it is unlikely. Burnt resistors are a sign of excessive load (going through them), so I would work my way through the circuit diagram and check the components on either side of the resistor.
Let's give it a go using the circuit diagram on page 141 of Performance Electronics for Cars;
It's a 10ohm resistor that sits between diode 2 and and zener diode 2 in the power supply circuit comtrolled by reg 1. So I would be checking the polarity of D2, ZD2 and Reg 1 and the value of the 1000uf, 10uf and 1000nf capacitors. I have marked them with red dots on the cicuit layout below (page 137 of Performance Electronics for Cars);.
I know someone has already suggested it, but the problem is in the power supply circuit, so the first thing I make ABSOLUTELY sure of is that the polarity of the power source is correct. Test it at least 3 ways, such as wire colour, multimeter voltage in and multimeter voltage out. The test voltages are shown on the circuit diagram above.
Hope that is of some help:cheers: