Parking at Amtrak Station

I'm considering parking at the regional transportation station in Syracuse for a few days. I live near Rochester so I'm not familiar with the area, but wanted to ask about how safe my car will be in the lot at Syracuse?

I usually park at the Rochester amtrak station but there has been an uptick in car break ins over the past few months - last time I got back to my car in Rochester there was a ton of broken glass in the lot. I never leave anything valuable in my car but still don't want to deal with broken windows.

Also, do I need a train or bus ticket to park there? I'm catching a ride one way but would be returning on the train to get my car.