There are definitely bits broken in there. But, from what I can see, the broken bits should only affect your ability to open it from the outside. Using the handle inside *should* open it no problem.
Here's my guess:
1) You need a new outside handle. The piece in your second photo that looks broken is indeed broken. There should be a little metal bit that attaches to the solenoid in your first photo, that attaches to the broken bit, so you're missing that piece too. I wish I had extras laying around so I could take pics for you! When you replace the broken handle and the missing bit, I *think* your outside handle will work.
2) Child safety locks. My 91 245SE has it, but I've definitely seen 245s that don't. I don't know when the change was made. If you happen to have this feature on your car, and it happens to be in the locked position, that would explain why you're not able to open it from the inside either. If you're familiar with the child safety locks on your doors, you'll recognize the little switch, but unfortunately you cant get to it unless you have the hatch open. Here's a (terrible) pic from the owner's manual that will at least shouw you the location of the switch on a door, so you can see what it looks like: http://i.imgur.com/u4EGlm5.jpg
3) Maybe the whole damn latch thing is seized/rusted solid. This also happens. You may need to replace it completely. I actually keep a spare just in case.
The first thing I'd do is replace the missing bit that attaches to the solenoid and see if that will enable you to open the hatch from the outside. I hope some of this helps!
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