New Member, New Duster

Ok so I got the car up and running! Somewhat. Had to jump the car since the battery was pretty dead. Once car was warm amo meter was dead center. Ran for about 20-30 minutes. As soon as I pulled in driveway it turned off. Only way to turn it back on was jumping. It is a pretty old battery but once car was warm voltage was ready 12. Something from the battery. Also, now amp meter is ready +40 This was after replacing battery wiring, starter, alrernator. Have a new VR but have not replaced yet. Waiting for ideas.

This little white thing is also very very hot. Is that normal?

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