From the description the repairs were not done correctly. The shaking and noise sound like they are misfires. The flashing CEL also is common with misfiring engines. I would get a code reader, read what codes are set and post them here. I would expect P0300 as one and at least one of the codes from P0301-P0306 as well as those are the individual codes for misfires from the cylinders. The oil pressure is worrysome, For that you would want to put a mechanical gauge on the engine and see if it reads low/high.
The exhaust is shaking because of the misfires I suspect.
Lifters tapping is not good.
What was the reason you needed a different head to begin with?
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Thursday, February 22nd, 2018 AT 7:49 PM