1974 Chevy Corvette Locking up

Thank you for taking my question. My first time!
When I slow down to stop, something is sticking coming from the brakes or rear end, I guess. The car sat for 16 years before I bought it. It has new stock calipers and rotors on the back. When you take off and accelerate, its like uh,uh,uh,uh then it drives fine. No vibration when driving. And one more note, it does it often, but not always.

Confused,

Curt