A few comments.
Marine plywood is not necessary. Marine grade plywood is marine grade primarily because of the number of plies and the lack of voids. Cabinet grade plywood is similar in there are more plies and there are no voids. More plies yields a more stable piece of wood. For the small about of plywood being used, picking up a piece of ¾" cabinet grade plywood would be cheap, look for it not in the. 4x8 sheet section of your favorite big box lumber yard, look for it in trim section. They are sometimes called hand-boards, partial sheets of various types of plywood and other sheet goods.
Glueing 2 thinner pieces of plywood to make a larger one is certainly OK, if done correctly. First, coat each side with unthickened epoxy and then use a thickened epoxy to join the two pieces. The plain epoxy will soak into the wood and provide a good bonding surface for the thickened epoxy. Epoxy bonding does not require a lot of pressure. Glue up the pieces before cutting, it will be less work.
I'm with MaineSail on the fittings. Send those ball valves back and get proper seacocks. Groco makes ball valve seacocks, a much better choice than the traditional tapered plug sea cocks. My two concerns are the mismatched threads, NPS vs NPT, it makes for a very weak leak prone joint. Second, is the mechanics. There is too much leverage with the large ball valve sitting on the thin walled mushroom fitting. The threaded part of the mushroom gets it strength from being surrounded by the backing plate and the hull as it passes through the hull and the bulk of the seacock as it is threaded into the seacock. The configuration in the photo shows a large portion of the mushroom being unsupported. This could be easily bent or cracked with unfortunate consequences ensuing. Murphy was an optimist.