I recently moved into a home with a heat pump. I've never had a heat pump before. Anyway, with summer approaching I have switched the system from "heat" to "cool". At times I notice the house is not cooling. The outside unit will be running but the inside air handler is not blowing air. Is this normal for a heat pump system at times? When this happens I see the temperature on the programmable thermostat is above the temp I've set for cooling. A light on the thermostat is on which tells me the system is trying to operate. If I turn the thermostat off, let things set for a few minutes, then turn it back on the system works as I expect. The outside unit runs, the inside air handler circulates the cool air, and the house will cool down. If this is not normal, what some of the typical things that would prevent the air handler from starting properly? Thanks in advance.

My outside unit continuously runs, but the inside of the house doesn't cool down. The tstat may be set at 80 and at times it will cool it down to 80, but the outside continues to run. Other times, it may be set at 80, but doesn't cool down taking the temp up to 87 and still continues run. Had tech out to look at it and said the amps were low and that the compressor was going bad. Had a second opinion, he put the gauges on and said the amps were fine. Neither of them looked at the tstat (maybe it's going bad?). The air coming out of the vents ranges between 68 - 74. Any ideas as to what is going on??? I'm in FL and it's hot :( Had another tech indicate that possibly the reverse value may be stuck??? Does any of these make any sense to anyone? Thanks in advance :)