HI
the Starter well not drain the battery unless you just kept cranking it until it went dead...
If its not getting charged then something is amuck in the wiring for the alternator to the battery...
Did you clean the battery cables before you put in the new battery... the cable part that clamps to the battery needs to be shiny clean for it to make contact to charge and to give power to the starter..
the starter is located at the back of the motor right at the bell housing on the passenger side if its a Rear wheel drive and I'm not sure on a Front wheel drive.
good luck
tim