I have a Bryant heating/cooling w/ heat pump - E3 error on thermostat and the house is 61 degrees and smells of burnt air

You may have burnt out your heat exchanger big $$$$ to fix

your auxillary heat should kick in. possible heat strip issue. heat pumps dont work well at 40 degrees. when you are trying to pick up heat from 40 degree ambient aIr.

It's likely a bad tstat. Turn the power off to your air handler. Remove red , green, yellow and orange wires inside the tstat and wire nut them together. Not sure if your reversing valve energizes in heating or cooling but, turn the power back on. If the unit is heating turn the power off and remove just the orange wire and turn power back on. Let this run and see if it you are ONLY getting cool air ALL the time. If so you have a bad stat. If still getting heat possibly you have a bad control board in the air handler. Good Luck!!

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I'm willing to bet a relay burned up. You likely have your tstat set to auto changeover, meaning it automatically goes from heat to cool to maintain desired set points??

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Your t-stat should be set up so that the furnace is the second stage heat and also emergency heat. First stage (heat Pump comes on) sometimes they use Time to start 2nd stage, sometimes they use outdoor temp and this all bepends how bryant has set it up, without a model # I cannot tell you but send it and i will look in somebooks i have to tell you.

your auxilary heat shoud be on. heating element or control problem

Your original wiring configuration seems to indicate that you have an air conditioner (not heat pump) and either a gas or electric furnace. If this is the case you may need a different thermostat for your application.

Your outdoor condenser is in heat mode. Check the wires on the thermostat. Sounds like a small wiring problem and nothing else. Good luck. Please keep me posted as to you progress.

I am pretty sure you have a low charge and the pressure switch is kicking it off. probably just a pound or two however the accumulater will sometimes hold more.