Perfect! If you respond to their offer with an educated counter offer, they may be more willing to play ball. Definitely start shopping that $575 quote (I would actually figure out the % discount off MSRP needed to get that monthly payment and ask if they can beat that). Your $1100 on the existing loan is also going to equal roughly $30/month over 36 months. Also, do you know what money factor they are using? Confirm that they aren’t marking that up as well. On your loan, have you taken it to Carmax to see if they’ll offer you more than the dealership?
On my lease, the first time I visited the dealership was to sign the papers and pick up my car. My deal had been secured over email and I had zero negotiation to do at the dealership.