The back door latch does not open the door or unlock it 2001 Chr

You need to replace the rear latch assembly it sounds like the switch inside latch is going bad.

you will need to remove the fuse for the power side doors and back. Disconnect the battery to reset the ECU and the doors should open and close manually just fine. There is a safety release on the gas filler port to prevent the door on that side from opening with the port is opened. Make sure the fuel filler cap door works properly, if the sliding door on that side is the one that won't open.

do you have a second fob try it battery may be low may need reprogramed or replaced check with your dealer

Look at the other door and look on the front edge to see where the child safety lock switch and see if that is the problem with the other door. That has happened with mine several times. Someone will play with it leaving it on so it can't be opened.

MANUALLY PUSH THE LATCH WHILE HOLDING DOOR HANDLE OPEN THAT USSUALLY DOES IT

You have a bare wire that is rubbing. Take to your local dealership.

If you have a hand book that comes with the van the instructions are in there. on the top panel you have one two or three dots on a switch you have to hold the garage opener next to the switch in the van press both together until it flashes .

your door panel can come off and you can access internal door locking mechanism from inside car first inspect to see all rods are hooked into plastic sleeves then make sure lock is disengaged by pulling rod towards rear of van it should then be able to be opened easily if not your locking mechanism is frozen inside of door between a pillar and door it will have to be pushed to open from inside of door panel once you do that door will open if you cant make lock work manually once this is done replace locking mechanism or rods accordingly.

sounds like the lock is seized, you will have to remove the panel,it's held on with screws and snap plugs, remove all the screws and then gently pull the panel off. you will be able to open the hatch by sliding the lever sideways. the latch and mechanical lock are the same unit. it has a electrical actuator. your dealer or regular tech sould be of great help in this very simple matter.

Saw this in an article:
2001 CHRYSLER TOWN AND COUNTRY - Campaign #01I003000 Summary: LATCHES/LOCKS/LINKAGES:DOORS:LATCH
Defect:
THIS IS NOT A SAFETY RECALL IN ACCORDANCE WITH THE SAFETY ACT. HOWEVER, IT IS DEEMED A SAFETY IMPROVEMENT CAMPAIGN BY THE AGENCY. VEHICLE DESCRIPTION: 2001 PLYMOUTH VOYAGER, CHRYSLER TOWN & COUNTRY, AND DODGE CARAVAN/GRAND CARAVAN MINI VANS THAT ARE NOT EQUIPPED WITH THE REMOTE KEYLESS ENTRY OPTION. THE SLIDING DOOR LATCHES ON THESE VEHICLES COULD RELEASE DURING CERTAIN SEVERE ACCIDENT CONDITIONS THAT INVOLVE THE SLIDING DOOR.
Consequence:
THIS COULD ALLOW THE SLIDING DOOR TO PARTIALLY OPEN.
Corrective action:
DEALER WILL REPLACE BOTH SLIDING DOOR KEY CYLINDER-TO-BELL CRANK LINKS ON THE SLIDING DOORS FREE OF CHARGE (PARTS AND LABOR). DAIMLER-CHRYSLER HAS DECIDED TO CONDUCT A SERVICE CAMPAIGN TO REPLACE THE SLIDING DOOR KEY CYLINDER-TO-BELL CRANK LINKS. OWNERS CAN CONTACT DAIMLER-CHRYSLER AT 1-800-853-1403, CONCERNING THIS PROGRAM.
Try calling that number and see if they'll do a replacement for ya..
1-800-853-1403