Check engine light just came on. no loss of power with the car, no noise, took

Why was he checking the timing belt and not reading the check engine code for you? Sounds like a devious little dealer.

First of all, these cars have timing chains, not belts. Second, he can't see any wear unless he tears the whole front of your motor off….something they won't do without getting paid for it. Third, if there is no issue, take it to an Autozone or O'Reilly's and have them read the code and tell you what it is. Then search on Google for that code with Solstice in the search bar. There are many people out there that are willing to help you with this issue before you go spending $1600! Furthermore, $1600 is a tad much for a timing chain….it's about $600.