The liquid nails or the PL will work fine.
I'd strongly suggest you use Advantec 3/4 T X G subflooring not plywood.
It's stonger, 0 chance it's going to delaminite, far more water resistant.
There's also going to be a screwing pattern printed right on the panels. Should be about every 6 to 8".
Your going to need an impact driver, a cordless drill with just be way to slow and not have the torque needed.
I broke down and bought a stand up screw gun, it has to be 100 times faster and a whole lot easyer on my old knees.
When laying it make sure to off set the panels. (first row full lenght, second row first piece get cut in 1/2.)
You do not want to end up with any short pieces on the ends of a row! Each piece needs to be a minumum of 24". Do some measuring before begining, if you see the end will be short just cut something off the first full lenght sheet so the last one will then be longer.
Subflooring must be laid at right angles to the joist.
To speed things along you drop the subfloor on the joist and lay a 2X4 across the joist to use as a tapping block to set them together.
There will always still be a small gap when using T & G that shows, it's suppost to be that way, do not keep trying to close it up.