Passenger rear door will not shut

remove door panel to inspect linkage in extreme cold and age the clips/connectors break or pop off also if greased can thicken like a putty and also not allow proper working

The actuator/latch is bad. Basically a spring in it is not tight enough to close it.

Car Door Won't Close or Stay Shut - JamesMaurer.com

https://www.jamesmaurer.com/car-door-wont-close-or-stay-shut.asp

If your car door won't close or stay shut then this quick free fix is just for you! ... It's a great day when you can prove to your child your not as old as they think you are :) .....It's pouring outside and my rear passenger door latch messed up. .... two doors and I couldn't shut them.. was worried I would have to catch the bus until we ...

Repairing a stuck latch on a car door - YouTube

? 4:24
https://www.youtube.com/watch?v=tQYWOK1q_iQ
Dec 22, 2012 - Uploaded by backyardmech
Fixing a stuck latch on a car door. Video shows that the door won't close, how to release the latch, the ...

Ford recalling 390,000 cars over door latch woes - Autoblog

check to see if the latch is not already half closed. If so use a round bar( Phillips screwdriver) that will fit under the latch and pull out while trying to open the door
sometimes the latch will move to half closed and will be in the wrong position to fully engage the retainer

Sounds like the latch closed on you. Make sure the door is unlocked, then pull up on the outer door handle, take a small screw driver to reach into the latch to pop it open. the door should then close normally.

You can look at the front doors latch to see what it is supposed to look like first, it may help.

Other wise you will have to replace the door latch, witch is a fairly common problem on those. And not much fun to do.

Sounds like the latch is seized or the tension spring is broke.
You'll probably have to replace the latch.

Door latch on door itself is in closed position if it will not close at all. In this case, open door and pull outside handle hard to pop open door latch. If you have door opening at random, door latch needs replacing or door catch on body is loose.

Just use the outside door handle and pull on the latch that is closed. If you use the inside door handle then you will have to undo the child lock.
Pull on the latched that is closed while holding the outside door handle....Make sure that it is unlocked...

The latch may already be latched like it is closed. You can take a screw driver and put it.. where the latch engages Slightly pry outward agianst the latch while pulling on the door handle. That should release the latch. If you continue to have the problem than the latch will have to be replaced because there is a plastic piece that may be worn out.You will have to remove the door panel to replace the latch. They sell a book on that car that will explain how to remove the door handle(at O'rielly).

Check the latch mechanism on the door. There is a piece of the latch that closes around the clasp on the door frame. sometimes this closes when the door is open and you can't shut the door. Take a screw driver and flip this latch piece open and close the door.