A couple things can cause the rear brakes to stick.
An frozen emergency brake cable can hold the brakes in the on position and keep the springs from retracting the brake shoes to the anchor pin.
An axle seal can go bad and allow rear end gear lube to leak into the rear brakes and soak the brake shoes with gear lube.
A wheel cylinder can freeze up and cause them to drag.
There's a couple things for you to check.
brakes on all 4 wheels
Yes, all Caprice and Impalas 1996 and older were rear wheel drive vehicles.
drum brakes on rear of 1996 ford not disk
There is no certain link between a car being a stick shift and what kind of brakes it has.
NO. I had a 96 and it had drum brakes. I believe the rear disk brakes started in 1998 for the Blazers.
like disk brakes
Yes. 91-96 impala, roadmaster, caprice, and fleetwood rear end are all the same and will fit with no modifications.
yes
A stock Caprice has a 5.0 engine( the 305), the Police (actually called the 9C1 Caprice) Caprice has an Lt1 350, a very powerful motor that is easily modified. the 9C1 Caprice also has upgraded heavy duty sway bars, suspension, and axles with its 5 x 5 truck bolt pattern as opposed to stock 5 x 4.75 pattern. But there was also a Caprice Classic LT version which also had a LT1 V8 5.7L in 1996. And After the 1996 GM (General Motor Company) Changed that Caprice Into the Impala SS. But that Impala SS had sportier Leather Seats than LT version and Rear disk brakes, better than the drum brakes the LT's have.
All Caprices were rear wheel drive from 1965 to 1996.
They are rear wheel drive, the last year made was 1996
Actually yes it will. Caprice/Impalas from 1977-1996 Share the same basic chassis. It will fit, also how do I know for a fact? I have a 9c1 rear end in my 88 caprice. Also just about any and all Suspension parts from a 91-96 caprice/impala will work with a 77-90 caprice/impala. However you will now have two different bolt patterns, unless you have a 80's 9c1 police package caprice which I believe did come with the same 5x5 bolt pattern as the 91's caprice/impalas