You can regulate the flow into each section through the use of the ball valves. You can put screens over the overflow's and outlet's to keep debris from getting sucked down. With 1 1/4" (32mm) drains, you should be fine and be able to regulate the pump enough to not overflow the display.
If anything though, I would run a single sump large instead of multiple small ones. Maybe have the sump span the entire width of the displays. Idk, I'm stuck at home today so if you toss up some specs, I can draw it up in sketchup.
I'm a little confused about your first paragraph, regulate what flow into each section (display stand or filtration stand) ?
Not that I am about to pick on you or anything but I am going to assume you haven't seen the scale of my systems on the whole...all 3 stands together measure over 4mtrs long and 2mtrs high...1 sump for all of them would have to be very large and I have limited space (sorry I never mentioned my lack of available space another reason I build vertical) breaking it down though I have done what you mentioned....
STAND A - all display tanks are 600mmLong
STAND B - all display tanks are 900mmLong
STAND C - all display tanks are 1200mmLong
So with that in mind the actual schematics (length) for each of the 3 sump tanks stacked behind each of the display stands (A, B & C) are the same as the display tanks here is an example of the 'current' schematics.
DISPLAY TANKS STAND A
top display - 600mm L x 300mm W x 350mm H
middle display - 600mm L x 300mm W x 350mm H
bottom display - 600mm L x 300mm W x 450mm H
FILTRATION TANKS STAND B
top refugium - 600mm L x 250mm W x 350mm H
middle refugium - 600mm L x 250mm W x 350mm H
bottom equipment - 600mm L x 250mm W x 500mm H (tank is set 6+ inchs lower then bottom display).
Basically behind each stand is about 600mm from wall to stand so another 300-350mm stand behind each current stand will fit (each filtration tank is just 50mm less in width).
Having said all this STAND C does only host 2 tanks and due to their 'unique nature' there is only going to be 1 refugium (2 filtration tanks) however these 2 tanks will be much larger (width wise) then the Display tanks in
front of them.
Hope that gives an idea.