More brat problems.

Okay so today I was about to go out for a drive so I started the car to let warm up a little. After stepping away a few minutes I noticed the voltmeter was not reading because the belt wasn't spinning therefore the water pump wasn't spinning and I had some slight overheating. shouldn't have been anything crazy but then I noticed some coolant leaking I assumed came out of the overflow spout on the radiator. After putting it in the garage I noticed coolant leaking from under the car that seems to be coming from the oil pump housing right around where the oil filter goes. At first I assumed it was the water pump but I inspected it quite a bit and it almost seems like fluid is oozing out of the bottom of the oil pump near the filter. Is this even possible? What does this sound like to you guys?