What are the signs of the waterpump not working?

What is your question?

Had radiator replaced and thermostat about a month ago. Also have been having an issue with the front right side caliper getting stuck at times on the rotor. Replaced pads, calipers, lines, master cylinder, battery, tires, and the problem of the right side front caliber still gets hung up after driving for awhile. Once I turn the engine off and let it sit for a hour or more, the caliper releases. My mechanic was going to change the booster but upon it finally happening with him driving he feels that the booster is not the problem. Just a side note rear brakes are drums. I got the truck back about a week ago because my mechanic was stumped and didnt have the time to spend figuring out the problem. He advised to take it to a Chevy repair center and have them run a diagnostics. I got the truck back and it started to make a squealing noise then suddenly the engine was smoking. The temperature gauge didn't indicate that the engine was running hot. It happened suddenly. Opened the hood and all the radiator coolant was leaking out. Filled it with water and made a block to my house. The noise was gone and the engine was reading 210 degree F and didn't rise above for the short 1 min ride. Could the water pump broke or something else?