No, you should not close the vents.  You still need to partially condition the room.  Closing the vents causes temperature extremes which are hard on the house, causing wood and drywall to expand or contract.

If you have no heat or ac,  first check your circuit breakers and try resetting the circuit board.  Check to make sure the batteries in your thermostat are still good.  Check your filter, if it’s really dirty it can shut the system down.  If none of this resolves the issue, call us.

Why does my furnace and air conditioner bang when it comes on or off?

The ductwork is undersized, delivering or receiving less than needed airflow to the blower motor. Sometimes blower speeds can be adjusted which reduces this problem.   Otherwise, the ductwork needs to be calculated and additional ducts may be needed.

Too much air flow is going through the return grill. The grill or ductwork may be too small or the blower motor is not calibrated for the needed air flow. Don’t live with it, this can be addressed by having the ducts and grills sized for the airflow needed and/or adjusting the blower speed to recommended settings.

Cleaning your HVAC equipment helps avoid problems leading to breakdowns and may reduce energy costs.  Not only do all manufacturers recommend annual cleanings, but are now asking for service records when certain warranty claims are made.