problem under hard acceleration

Hi, I have a 2016 Mustang GT PP (manual) with only 21k on it. Factory powertrain warranty expires in a few days. I've been having this problem where, whenever I do a hard acceleration, especially whenever I slip the clutch on a hard pull, I suddenly start feeling a quite noticeable vibration...

Hey all just finished with break in period and I finally opened up my stang but I notice when I drive the car now everytime I try to put the exhaust in sport or track mode it says I can't adjust it and reverts it back to normal and I don't like normal because if you accelerate slow it sounds...

I have thought for a while that my car felt very unstable in the rear, under hard acceleration or swift lane changes I get a substantial amount of rocking or wagging in the rear suspension. I had chalked it up to me being over critical until I let a friend drive my car while I drove along side...