UPS purchase date has nothing to do with the age/condition of the batteries. Your problem has typical symptoms of a weak/undercharged battery. Check-out the manufacturing date on the box etc to rule out any bad battery related issues.
You can carry out more tests to find out if the UPS really gives out any backup at all. Plugin in 100 watt bulb or a table fan and see if they work on full capacity. Don't plug-in mains supply to the UPS. It'll give you some idea whether the UPS is unable to switch-over or the battery is under-charged.
You can carry out more tests to find out if the UPS really gives out any backup at all. Plugin in 100 watt bulb or a table fan and see if they work on full capacity. Don't plug-in mains supply to the UPS. It'll give you some idea whether the UPS is unable to switch-over or the battery is under-charged.