Yes, it looks like atlernator problem.
Jump the car(or recharge the battery) and let it run. Meter the battery voltage to see if it's 14.5V. If it's not, replace or overhaul the alternator.
Jump the car(or recharge the battery) and let it run. Meter the battery voltage to see if it's 14.5V. If it's not, replace or overhaul the alternator.