Almost all GM products idle rough when its cold but, if it continues it may be the tps swich.
Could be the drivers.
A bad radio speaker
seal. expensive
short circuit in the circuit
motor mount
transmission leak in reverse only
Probably the blower motor, wiring to it or control switch
start with checking thermostat
Partially clogged fuel filter or the pump is failing.
car door light stay on
You might need transmission fluid !?!?
Defective Blower Motor Resistor Pack.