2006 Town & Country:
1. Last week my drivers side sliding door got stuck in the locked position. I locked the van with the remote and now the door won't unlock manually or with the remote.
2. If I open my liftgate with the remote or inside car button, it raises but then closes automatically, even if I try to stop it from closing. If I open the gate manually, it will not stay open unless I hold it open.
Help!

 

Have you unlocked the side door and tried opening it from the inside and outside using the handles? I'd also try from the inside and put a little bit of pressure against the door, incase it is just stuck

For the tailgate, you might need new struts.

 

The sliding door's lock is stuck in the locked position. I can't pull it up manually nor can I use the key or inside door unlock switch to pop it up.

 

Just searched google, as you talk about pulling up manually. It's a different setup from my 2006.
This might help, I don't know if you can get the door panel off easily when the doors shut though.
3 Common Problems - Chrysler Town & Country