Spot on.

When the battery has been on charge, should I quickly check its output just so I know what its giving? This may also tell me if its fucked or not and has accepted its charge right?

Once connected back up and im check for the 13v or above. Should the car be idle or revving? if revving, upto what RPM? Sorry for all the questions but I want to make sure im doing this right before I fork out for al/batt.