My Carrier 58dxc is making a loud noise

Make sure your filter is clean and that your heat registers are open and the cold air return is not blocked. So if you turn your thermostat up to 70 degrees is the burner shutting off before the house gets up to temp? If the thermostat has batteries are they new? Out side of that you may need a service tech.

This is most likely the flame sensor in the actual furnace and not the thermostat. Post the model of the furnace.

check the thermostat also check the inline fuse for the electric heat coil . check wires in control panel they tend to burn and last check to make sure reversing valve is changing over located by the compressor

The cooling light not coming on, on the ac unit

Is it set on summer switch which is the fan running all the time blowing cold air

you have a dirty flame sensor. just needs mantenance.

clutch

Hi There,
Check the fan drive belt & motor. Hope this helps and thanks for using FixYa!

Set thr thermostat to AC instead of HEAT.

My weathermaker started making a screeching noise and intermittantly would shut down, without blowing any heat. I found the sediment trap clogged and the induction motor was churning through the backed up condensation water. This slowed the motor down and the pressure switch would not stay closed. Unclogging the trap and hoses solved the problem. A bunch of water came out when I disconnected the collector box drain hose, along with gobs of sticky crud. Works great and is quiet now.