Radiator cooling fan does not work on low or when the A/C is first turned on?

Fan works on low when A/C is on. Only works when engine temperature passes the center or high temperature reading on gauge. Also, the A/C gets warm unless the car is moving or after fan comes on high and stays on. Moved black relay fuses to test the same issue. A couple of times the fan just stayed on and had to unplug the 80-amp fuse and wait before putting it back on or fan would continue on high.

Correction fan does not work on low or when the A/C is first tuned on. Only after engine temperature passes the halfway point.