Would you please post some pictures of the extra valves your trailers have because I am not aware of such a system I want to know in case I see this problem on something else. I am not trying to start anything just trying to learn.
No valves are needed to equalize air pressure between axles. To get equal air pressure in a set of bags they just need to be plumbed together. As most trailers are.
All the legislation I’ve ever read allows 20k on a single axle with adequate spacing from another axle or axle group. No mention of tandems or axles that equalize.
Your 5th wheel needs to move forward. Looks like you have a deep kin pin. Hard to tell from your pics. On air liner you will wanna start with trailer king pin at red line centered on front drive air bag. Then figure if load need to go forward or back. Im gonna say forward. Next I would never count on a truck stop multi platform scales for individual axle weights. You need them on seperate plates. Go to a local co-op and back it on one axle at a time. Subtract first first axle weight from second axle weight. Bet it comes out differently than what you are currently showing. Over all center measurement is not center for weight distribution.
In fairness if the OP listened to everyone in this post, he would go to a shop with unidentified problem and probably need a new trailer.