I just happened to re-install my HP Deskjet 3630, after reinstalling LL5.2. It was very annoying, but my printer looks similar to yours, so maybe I can help.
First I printed out a network configuration page by pressing down both the network and information buttons on the printer, at the same time.
Then I activated the Wi-fi network for the printer. My network is called "DIRECT-A9-HP Deskjet 3630 series". The password is found on the print-out.
In "Printers" I chose "Add" => "Printer"
Under Select Device => Network Printer =>Find Network Printer => Internet Printing Protocol
Under Enter device URI I added the link from the print-out, found in the section "Wi-Fi Direct". Something like this:
https://123.456.789.0
Then press forward.
Find HP on the list
Then your printer, and the "hpcups" option in the right hand side of the window
Then you can name the printer:
Then "Apply", and you should be able to print a test page.
When using simple-scan, make sure you choose the SSL option.