Remove spark plug from Number One cylinder, rotate camshaft until valves are closed, and apply compressed air to that cylinder. If it hisses back out the intake the intake valves are bent.
Another method is to pop the valve cover off and check for excessive lash on the intakes as the intake valve heads are larger than the exhaust and they’re generally the ones to make contact with the piston tops. The bent valves will of course not allow the valve to fully seat which in turn increases the lash.
I’m just saying that I’ve never in my life felt a need to install a belt just to find out bad news and it makes me kind of cringe to read tales on here all of the time about someone owing a 4 or 500 dollar tab for a belt replacement only to be told, sorry your engine is junk.
I also don’t buy that the engine is junk in most cases due to valve/piston contact. Usually the pistons get nicked up a bit and a few minutes spent with a Dremel removing sharp edges on those nicks will usually make things right.
Granted, there’s always the possibility of a cracked piston or damaged rod bearing due to a broken belt but I’ve never run across one yet that repair of the heads and piston nick repairs did not make right.
Tester does have a good point about walking away from this car. It’s just that being an '04 and still owing 2500 on it makes it a much more difficult decision because that 2500 along with what the shop is charging now will apparently be rolled over into another car. Another car might be even worse.