2005 Dodge Grand Caravan brakes

have you replaced the front and rear brake pads (for older vehicles, rear wheels use brake shoes instead of brake pads). if yes, check your calipers. completely remove it from your tire and have it cleaned.
if the problem still persists, then its time to replace your hydrovac

Parking brake should be unaffected if you only changed the rear disc pads. The parking brake self adjusts every time you back up and apply the brakes if it is functioning properly.

You don't need to change the caliper, you need to adjust the brakes and the replace the brake pads..

In this tutorial, we learn how to check the brake pads on a 2008 Dodge Caravan, check the thickness of the brake pads on the car to see if they are thick enough. The rear pad is surrounded by a gold piece called the "shoe" and the rotor. The front pad has to be inspected by laying on your back and looking for the pad to see how thick it is. If the thickness is not enough, you need to replace it as soon as possible. Make sure the brake pads are up to t

When you push the caliper piston in to install the new brake pads, you have to keep pumping the brake paddle after the new pads and every thing is put back together, the paddle will come back up, do it with the engine off.

sounds like the pads were either installed wrong or your forgot the have the rotors ground down. grinding down the rotors would have taken out any extra vibration. if the rotors arent ground flat, the pads will cause vibration as they seat against the uneven surface of the rotors. the clicking indicates that the brake calipher was not secured and is hitting the wheel when the brakes are applied. PLEASE Get a Manual from chiltons or haynes for your car they will help you change your pads and rotors more efficently.

There are 2 bolts on the "inside" on the caliper towards the bottom they use an allen wrench socket.

according to the service manual there are two bolts hold the caliber to tthe adapter plate and the caliper should roll up and out. the only problem i could imagine is if the pads are hanging in the adapter

Better late than never, right?
According to Haynes 30013: "Dodge Carvan, Chrysler Voyager & Town and Country, 2003 through 2006" Repair Manual:
Caliper Guide Pins or Guide Pin Bolts - 26 Ft-lbs

Sounds like you have pushed the brake peddle to the floor after you changed the pads. This can cause major probs in the master cylinder. The brake warning light should come on if this is the trouble. Frankster016