Air Conditioning Problem

Both problems should be related and caused by the control cables.

ADJUSTMENTS
AIR MIX CABLE
NOTE:
The purpose for adjusting the air mix cable is to ensure that the air
mix door is fully closed when the maximum cool position is selected.

1. At air mix door linkage (bottom of heater case), disengage air mix cable housing from clamp. Disconnect cable wire from air mix door control arm. At heater control panel, select maximum cool position and hold it in this position.

2. At air mix door linkage, hold door control arm in maximum cool position (hold it against stop). Reconnect cable wire to door control arm. Gently slide cable housing back to eliminate slack, then snap cable housing into clamp. Adjust heater valve cable. See HEATER (COOLANT) VALVE CABLE.

HEATER (COOLANT) VALVE CABLE
Note :
The purpose for adjusting the heater valve cable is to ensure that the heater valve is fully closed when the maximum cool position is selected.

1. At heater valve near engine compartment firewall, disengage cable housing from clamp and disconnect cable wire from heater valve. At control panel, set temperature control to maximum cool position and hold it in this position.

2. At air mix door linkage (bottom of heater case), hold door control arm in maximum cool position (hold it against stop). At engine compartment firewall, reconnect cable wire to heater valve. Gently slide cable housing back to eliminate slack, then snap cable housing into clamp.

Why do you suspect it's the relay?

Is your refrigerant topped up? Get an a/c diagnostic done first.

Find or trace the cable from the temp control and inside the engine well is the valve to control the flow on the coolant line that feeds the heater for the car. The valve is not closing all the way. A system flush could rectify the problem but you may want to take off that valve and clean or replace it.