York HP installed in 2003. AC supposed to be running. We started to hear clicking while the outside unit was running but the blower was not. I went under the house and checked the little fuse(It was Ok). I checked to find the source of the clicking. It is coming from the fan motor trying to start. The fan tries to move but won't move more than 1/4 inch with each click. The fan would turn with help but not keep going. After several minutes, a sharp alarm sound was heard(beep beep). The green light on the circuit board was flashing while the fan was trying to start. The outside unit was running and the air handler coil began to freeze. We tried the "fan on" setting with the same results. I did some research and went back under to look for a run capacitor. There was none that I could see- none on the fan housing and nothing on the circuit boards that looked like a capacitor. Everything I read said there would be a capacitor. I removed the fan housing and the fan turns easily with a slight rubbing sound. What should I do next? Is there a capacitor I can't see? Should I find a place where they check motors? This motor has two plastic plugs to hook up the bundle of wires. What does the green flashing light mean when the power was on? What does that alarm sound(beep beep, like a microwave oven) mean? I will appreciate any worthwhile advice.

looking for feedback- redoing my kitchen- original kitchen is built on a slab with 3/4" plywood subfloor over that (that was the original install)- Since it's on a slab, it's always been cold.... I'd like to go with laminate tiles for the new floor but I'm wondering if installing some type of radiant heating is a good idea.... Anyone have any suggestions/advice or feedback on installing this type of heating? I'm told it can be used with different floot types (not just ceramic tile) thanks