Or you could change a good radiator!
2) The problem causing your system auto shutdown is because of system overheating. Obviously, you need to clean up the dust away from your system fan. Take apart your laptop; clean up thoroughly over the processor and thermal holes. As there’s too much dust piling up there, processor’s thermal performance would be influenced, finally, there’s more and more dust accumulating there. When it reaches the point that processor’s thermal turns off, then your system would continually auto shut down to protect it from being burnt.
Hope this could help you!