that battery should do you well then mate.
the charger should come with the plug with some battery clamps on to put onto the battery, well i assume it will but if not its wouldnt be to hard to make a lead
you can use a 12v battery on chargers like the core uac 50 as it has a 12v input port, rather handy but that chargers not really suitable for 4s even tho it can it will take a while lol