How to open stuck tailgate on corolla station wagon

SOURCE: 05 tacoma tailgate latch stuck

I had the same problem. I figure that dirt/rust may have accumulated inside the latching mechanism. I was able to fix it using the following steps.
1 - Remove the plastic cap that covers the top of the gate.
2 - Remove as many of the remaining torx bolts from the inside cover (you will need to do this to get inside the gate).
3 - Next, try and get some WD40 on/in the latch mechanism.
4 - Using a large screwdriver, you will need to pry the lever attached to the cable in order to release the latch.

Not a pretty process but it seemed to work. I give the latches a good lubrication frequently now, until I get around to replacing them.

SOURCE: 2004 TOYOTA COROLLA TRUNK

I have a corolla 2003 and I had the same problem. I turned the key to the left and the lock turned left, engaging the valet parking mechanism. I could not turn the key to the right and could not get access to the trunk because the lever next to the driver seat was disengaged.
The way I solved this problem is as follow:on the back driver seat I pulled the back seat forward to leave an opening and snick my arm in the trunck. Then I grabbed the cable used to latch the seat and I pulled forward, i.e. toward the front of the car. The cable is connectred to the trunck so that it can be disconnected easily if pulled towards the front. If you pull towards the back it will remain attached to the trunck. So grab the cable an pull towards the front, and it will release itself. Since the cable is flexible, you can pull it out of the trunk from the same the opening you put your arm, and then disenagage the driver back seat. Fold forward the back seat and get into the trunk and use the lever in the latch of the trunck to open it. The turnk will open.

If the lock does not turn, you need to disconnect the lock from the mechanism, so that the driver seat lever can start working again. To do this, and with the trunk open, remove the cover holded by nine plastic pins. Do not break the pins. After removing the cover, you will see the lock holded by two nuts. Remove the nuts with a rachet. The lock will be loose, and disconnect the lever that connects the lock to the latch. At this point the driver seat lever will start working again. Close the trunk and verify that the driver seat lever opens the trunk. Now you can open and close the trunk , and have time to call the dealer for a new lock.
Good luck.

SOURCE: hood will not release

You need to remove the black plastic mud guard from under the bumper, use a 10 or 12 mm socket with extention to reach the hood latch from under the car, un bolt the latch and lift the hood up to repair. Hope this helps.

SOURCE: owners manual toyota corolla station wagon 1994

You can get your manual at Toyota website I think all u have to do is login create a password and you should be able to get your manual.

SOURCE: sienna automatic door catches

can it open manual? if it can see if there is any deb re inside the door latch, if so blow out with air gun and apply WD-40, let me know if that helped!
good luck!