Heater A/C problems

What is your question?

After turning down the climate control to 65F I still get hot air to my vents, especially if I turn the fan up. Secondly, I have the have the temp on around 80F to get warm air, lower then that it will blow cold air. To top it all of, my A/C cuts out when the ambient temp is around or over 80F, I have to turn of the A/C, wait 10 seconds then I can turn it back on and it will work again until I come to a stop in front of a traffic light. I think that the heater hot air is over heating my A/C.