3. You linked to an Add Listing form on a demo site that only is for Properties. But you seemed to think that page is for different CPTs. Some people create a normal WP page with the different links to the different Add Listing forms, or you can put the same links in the Add Listing page, then users can choose to select a different CPT from that page.
5. Do you mean, you do not want the compass that is part of the location search field?
You can add this CSS to hide it:
.near-compass {display: none}
6. Change the size of the image or adjust the HTML in the text widget at GD > GD Home Top Section.
7. About 200 x 80, but it does not matter too much with GDF.
8. See https://wpgeodirectory.com/support/topic/listings/#post-261957
There is no way to force a listing, but you can add a default image per category or at GD > Design > Listings tab > Upload listing no image
9. Can you explain where you want this sorting to happen? A URL will be helpful.
Thanks