No heat or AC

The no heat can be a blocked heater core, especially in these cars, no a/c does the compressor turn on? Start the car, warm it to operating temp, then give a quick feel to both heater hoses going into the firewall, Are both the same and real hot? Temp blend door is stuck! If one is cool and the other hot, blocked heater core! Then turn on the a/c check for compressor engauging