A 2015 list of wrecks to be removed:
Niugini Dragon, Gulf Star 2, MV Gavina, Diane Dos, MV Modesta, Charter Boat, MV Fortune, FA 150, Pleasure Vessel, MV Lady Raula, MV Sunset, MV Danaya, MV Capella, MV Bougainville Atoll and MV Clouster.
https://pngresourcesonline.com/ports-corp-makes-wreck-removal-request/

My money is on GULF STAR 2 (IMO 8515726)
154gt, 24.5m
built 1986 Kanmon Zosen, Shimonoseki (Yd 385)
Gulf Papua Fisheries Pty Ltd, Port Moresby

Small pic of sister GULF STAR 1 at
https://www.destinationpng.com/section-3/gulf-papua-fisheries/

Name is: Niugini Dragon

I dug up another photo of the wrecks in a blog here: http://v2.travelark.org/travel-blog-entry/newsbob/7/1485096682

The vessel nearer to shore bears a registration of PNG 346, and the remains of a two word name can be seen welded at the bow. The second word is certainly DRAGON, and the first may end with an "N." If I had to guess, I'd say the vessel looks Japanese-built.

I am quite sure that the picture shows 2 wrecks side by side. They are on Google Earth at 9°26'47.79"S 147° 8'26.99"E. There is a picture taken from the shore at https://www.istockphoto.com/ae/photo/rusted-ship-abandoned-in-the-water-gm843518046-137862267
There is also a video at https://www.gettyimages.no/detail/video/orbiting-drone-shot-of-shipwreck-in-port-moresby-stock-footage/1086718344?adppopup=true
The wrecks appeared on Google Earth since somewhere between November and December 2012. So far, I was not able to find any name for these ships.