You will want to install something like the MOLY bolts or the WING BOLTS type anchors...
These fit through a small hole and opens up behind the plyboard. Of course your install will be the most pull down weight you can have being mounted to the ceiling. If the mounts were through the vertical wall it the weight distribution is greatly reduced.
I too think you may need to determine if the plyboard is water damaged first.
If you could install anchors both in the ceiling as well on the back wall would help out big time.
These are photos of the MOLY and SPRING WING NUT anchors available from LOWES...

The WING SPRING NUT will probably hold up more weight due to the large WING spring nut size behind the plyboard and large washers on the front side. The problem with the spring-nut is it is a one time use assy. If you remove the screw the spring nut will drop behind the wall.
The MOLY bolt can be used over and over again once it is installed. You can remove the the bolt and reuse it again.

I would double up on the MOLY BOLTS if that is what you are going to use. You can see how the original anchor folded up behind the ceiling and pulled thru the hole.
If you end up removing the ceiling to repair water damage I would install a metal backing when I replaced the ceiling plyboard.
I have used the MOLY BOLTS on several vertical thin walls of the RV's hanging back boards for HDTV LCD TV installations.
These vertical wall back board installs would look like this...
Let us all know what you find...
Roy Ken