New battery, alternator checks out fine...car still dies

Question edited for clarity.
Question moved to model category.

Help here, but the lights and wipers aspect make me wonder if there are connection issues with the Body Control Module and all those features are controlled by it. You need an auto electrician.

https://www.google.com/search?q=1993+Dodge+Grand+Caravan.+The+Door+is+locking+%26+unlocking+itself+repeatedly

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check that the wires from the battery to the alternator or good and not broken in the battery terminal

most likely throttle pos sencor

I have pasted your schematic below. With all new parts, the likely problem is with the wiring. If the car runs OK, the wire with the orange stripe is probably fine. So then you need to check the green wire to the computer for good continuity. Then check the black battery wire and fuse. Finally, check the ground wires. You might try connecting jumper cables directly from the battery to the alternator and turning the lights on to see if good connections make a difference. If they do, then take one off at a time to see which one is the problem (positive or negative).

If it sputters or hesitates while driving I would suggest a new fuel filter. If it runs smoothly and just dies out you may have a fuel pump which needs to be replaced because it is going bad. If fuel pump relays or other types of relevant fuses are blown it would not start at all. Your mechanic could also pull a spark plug and check for a blueish white high voltage spark if it has an orange or reddish tint that would denote a lower voltage spark normally from a worn out coil pack, spark plug, plug wire etc. Through advanced engine diagnostics you can have your vehicle connected to an oscilloscope or a cylinder dwell meter which can cancel out spark to each cylinder to check for function. However your best bet may be the fuel pump, if your vehicle dies again check to see if your vehicle is getting any fuel first then you'll know for sure.

check the supply feed from the battery where it goes into a terminal block .Should be near the battery

Like you said, battery may be flat. You can check that with a multimeter.

Next check the alternator. Faulty alternator leads to uncharged battery.

if you can get the car started while it is running take the positive side of the battery cable off if it dies then it is the alternator if it does not die check the drive belt to see if it is loose or slipping

sounds like the alternator has stopped charging or has bad connection at battery