Bought a new battery for my car but the battery light still comes on and the car itself does not seem to have any power from lights to pulling down windows or sunroof

Next you need to check the charging voltage. It's possible the alternator isn't charging. You should have around 13.5 volts at idle at the battery. A local parts store can also perform a load test. Use this link to find a good shop near you. https://repairpal.com/repair-shops Alex

Check ALL connections,make sure all are clean,shiny/tight/connected. Have the alternator tested,more than likely it's the problem....