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Hello, with it having ran hot and now shaking I would start by checking for combustion gas in the coolant. This will tell you very quickly if it blew the head gasket when it rant hot. Most partsstores will rent you the tool, ask for a "block tester" and tell them you want to heck for combustion gases in the coolant. You'll also have to buy some fluid to use with the tool it's aroun 10 or so. The tool will have instructions. Let me know what you find. if needed we can work further.
You're welcome, I'll be happy to help with any follow ups after testing.