Chosen Solution

I have a Macbook 13" late 2008 model 2.0 ghz and it won’t boot. I thought it might be the heatsink but it looks fine so does everything else. What happened was I tried replacing the dc jack unfortunately it wasn’t the right model and all of a sudden the pc powered off and the fan would just run and run until the battery ran out. I want to try to replace the cpu but I want to know if it’s possible with a heat gun? Also if it’s a go instead of keeping my crappy 2.0 GHz processor how far up can I upgrade?

The CPU’s on this logic board are not designed to be replaceable. I also don’t think replacing the CPU is what you need to do here. I suspect the FET’s and other parts in the charging circuit have been damaged and will likely need replacing. I would strongly recommend just swapping out the logic board given what you have already attempted for a repair on this one. As to going with a faster CPU, you might be able to find a replacement 2.4GHz logic board in this series.