These are all backup or lock files of one sort of another that emacs itself creates (i.e. they have nothing to do with org-mode: emacs does this for all files). See Backup in the Emacs docs: this explains the files with
.#file.org file is a lock file that is created when you modify
file.org but have not saved it yet. It's supposed to protect the file from simultaneous editing by multiple users. See Protection against Simultaneous Editing.
#file.org# is a saved copy of the corresponding file
file.org that emacs currently is visiting. As long as you keep the
file.org file open, the backup file will be periodically saved with the current contents of the buffer, so that if emacs crashes you will have lost only a little bit of what you had done. When you save the file and kill the buffer visiting it, this backup file will go away. See Auto-Save Files.
The docs describe a bunch of options that you can set to change the default behavior.
 Emacs never crashes of course.
 Just kidding :-)