On a repair call, a technician typically checks the filter, burners, flame sensor, igniter, pressure switch, blower, and venting, and runs a combustion test. They should explain what failed and whether the fix is a part or a sign of wider wear.
If replacement is recommended, the gas piping and appliance hookup need a permit and an inspection by Duxbury's plumbing and gas inspector, who works out of the Building Department at Town Hall. Because inspections are booked by phone and run on set afternoons and Friday mornings, ask your contractor to build that into the schedule.
When a new furnace is sized, ask whether the existing ductwork can carry the airflow. Houses that have added rooms since the 1970s sometimes need duct changes for the new unit to heat evenly.