A bunch of tech questions

1.) I have a bunch of photos on my computer that have been moved around in some sort of way that doesn't give me access to them.

If I try to view the photos, copy them or even move them, I get "access denied."

How can I get access or even view them?

Open CMD and cd to the folder. Type "dir /q" to get file owner information.
Is it a Paint.NET issue trying to read it? Try opening with Windows Picture and Fax Viewer to view them.

5.) I know how to dual boot between Ubuntu and Windows by splitting the disk pretty much in half, but is there a way to make a shared partition? Like a folder that works for both operating systems?

Format a FAT32 partition. Both NT and Linux should have rwx access. It will just be a matter of mounting/unmounting the partition in Ubuntu (though I wouldn't be surprised if it mounted automatically in that thing).