You need to test the volts out from the charger with a MultiMeter,
to check if there is power coming out. Your battery may also be faulty, as pointed out from some other expert. In any case the suspect nr.1 remains the adapter.
About the warrantee, you have 12 moths from Samsung , it should be valid even if you register the item right now. Here are details about Samsung 12 months fabrig warrantee in UK
. Contact Samsung in your area to get more details.
You are asking help to me and accepted the rubbish solution provided by other expert. Please refuse the other expert solution (unless helpful) accept the right solution in the premium post (the other). Fixya pay the accepted solution only.