It’s possible that the same problem is causing both the check engine and oil light to light up. That’s because a low oil pressure or oil level light will sometimes trigger both the oil and check-engine lights. I assume the basics such as oil level (on the dipstick) have been checked.

Continuing to drive a car with a flashing oil light on the dashboard is asking for trouble, to be honest. This needs to be investigated and you might want to look for another dealership who can better manage this stuff.

Either way, it’s a dealership problem because this sort of thing should be covered by the factory warranty if there really is a problem. But even if it’s just a computer glitch that’s lighting the warning lights up now and then, you need to know what that is and put it right.