Using 3 phase power presents a rather large problem for someone that does not have enough experience. There a quite a few three phase systems that have a 208v high leg ( called a delta system) that will fry just about any equipment you would be hooking up to it. I have recently seems an audio
distro plugged in via camloc and they picked up a high leg and did not meter it first. They lost 8
amps that day. Also, since you do not own the
NEC code book, you do not know what requirements you need to meet.( for instance there is a specific clause that prohibits unqualified personnel to do tie ins, although there are exceptions.) I would recommend getting a theatrical electrician or an electrician that specializes in temporary distribution to do this for you. (Most electricians have never heard of cam loc) A cheaper and better choice would be to simply buy a small distro from union conductor or someone like that. If you buy from them then you know it’s going to meet code and you know that it’s going to work.
As for mounting the whole thing on plywood: Its a good idea in theory, but a home made distro looks much better built into an old road case or rack. Just mount the distro on the back side of the rack and put the outlets on the front. I personally mount three meters from each leg to neutral in my rack. An indicator light for each phase is a nice idea. Ground any metal part of the rack.
Bottom line is that if you don't know what gauge cable, type and size breaker to use then you should not be doing this by yourself.
Jay