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Clean the battery terminals on the cables, they need to be bright clean metal. If you don't have a proper terminal cleaner (wire brush ones suck) scrape it to bare metal with a knife.
I have to assume you are putting the jumper cables right on the battery terminals.
I agree with Killer based on the description of your symptoms. If everything works as expected when you jump it, most likely a bad/dead battery or the terminal of either your + or - cable are corroded and they are not making a good connection on the battery posts...
Go back to basics.
Go over every connection of parts you replaced & check for correct wiring & make sure everything is tightened to spec.
Plus double check all connections for cleanliness & are connected proper.
Should have 3 grounds going from battery to:
Engine block (somewhere under/near alt. usually bolted to cyl.-head or block itself)
Down to frame/chassis (should have a "star" washer under it. -barbed washer-)
Radiator support.
You should also have a ground from back of engine to fire wall.
These grounds are important & without them, it can lead to issues.
Turns out the new alternator was bad. Being out of the game a while I realize to not realize that just because a part is new doesn't mean it ain't the problem. Thanks for the tips & keep on truckin'!
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