Forgot to answer the other question.
Yes if everything is connected as shown, and all the following conditions are met:
1. You have a 10ga or better wire going from the Alternator B+ stud to the battey + terminal
2. The battery is grounded to the frame AND the engine block, and the body, and the battery is good with a good charge
3. The alternator is good, and well grounded to the engine block
4. The regulator is the correct one, works and is properly grounded to the body, then the alternator should charge.