Good afternoon.
Yes, they could have damaged it by over-revving the engine or too much engine speed.
It sounds like something is not correct in the cylinders whether it is oil or coolant that is burning.
Tests will have to be done to determine the failure but with the mileage, I doubt you would want to just repair the issue without doing an overhaul.
Roy
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Wednesday, September 5th, 2018 AT 2:07 PM