Possibly the Heater Motor, if the fan is not coming on at all the bearing in the motor have probably gone out.
You may smell coolant when the ac is running but a leak in the heater core won't cause the ac not to work.
Yes
Yes. The coolant carries the engine heat to the heater core. Without coolant the heater core does not get warm.
the heater core could be pluged or the heater control valve is stuck closed
Not a whole of symptoms to work with here...The most common cause of "... heater not working..." is a failed temperature blend door actuator motor.See "Related Questions" below for more
A bad control switch can cause your 2003 Nissan Sentra heater blower to stay on. The motor or a bad sensor can also cause the heather not to work properly.
Those are two seperate circuits. Start with checking the fuses. There is a fuse for the radio and a fuse for the heater blower motor.
While there are a variety of reasons your Lexus ES350 heater is not working, the most common 3 are a broken heater blower motor, a problem with the thermostat, or a failed heater blower motor resistor.
If the problem is that the air never gets warm, it's most likely a stuck-open thermostat. If not that, heater core may be plugged.
check the fuse
The most probable cause is low coolant level. After that you may have a bad thermostat or possibly a clogged heater core. You really need to give more info for a better answer. Does it work when the vehicle is moving but not so well when waiting at a light? Is the blower working? Is it not working at all?
No...