You can buy a paint on liquid roof EPDM product as well. I replaced my EPDM liner 5 years ago with a ducor liner. It was a straight up pain in arse, took me a lot longer than I thought and the water damage, like home construction is ALWAYs worse than it appears. If it were to do it all over again, I would have used the paint on product and save a poop load of time. But if your dead set on the liner, a few things may help:
1, RV luan is expensive, 1/4 finished ply worked well for me.
2, the AC gasket is reusable, no need to replace it unless damaged. My resealed just fine.
3, builders contact cement is just as good as the pricy ducor brand.
4, A solid wood kitchen flour roller worked great when applying the membrane.
5, be sure to replace all your vents and caps. The old ones are nasty don't remove too easily with out bending and damages the flanges.
The paint on products will last just as long and you can paint it right over the old liner (except where you have water damage of course. You also may want to consider using eternabond or the ducor equivalent tape along the seems where you replace your luan, expensive tape but well worth it. A buddy of mine use it on his project and it worked great on the new seams.