Originally the Western and Southern Regions had eight per second class compartment (four-a-side), the other regions had six per compartment. The primary difference was the WR and SR had the armrests removed. Of course vehicles were transferred between the regions and weren't always reconfigured ... In DMUs however, eight per second class compartment seems to have been the norm regardless of region.
Swindon works built most of the "high end" dmus in the modernisation plan, from the original Scottish Inter-City 'white star' Inter-City units to the 4-car sets for the Western Region, which were the last dmus of that generation built. Just like they built much of the Mk 1 corridor stock for the WR, so they went for what they knew, 4-across. The upholsterers may even have used the same drawings.
Swindon also used liberal amounts of asbestos insulation, which is why hardly any of their output survives.
The Trans Pennine formation replicated the original Scottish unit formations. These appeared to have been built as normal 3-car sets, some motor units with proper end cabs and others with gangways and side cabs, but the ScR normally ran them as 6-car units with the full cab cars on the outside, the gangwayed motor units inside them, and the two trailers (one a buffet) in the middle, which is effectively how the Trans Pennine units were done. And towards the end they likewise removed the buffets, reducing to 5-car sets.
I believe a Trans Pennine unit was also assigned for a long while to a service at about 17.30 from Manchester Victoria to Blackpool, after a loco-hauled service at this time was withdrawn and replaced by local units, which led to many complaints.
They had normal mu controls, and it was quite common for one of the driving cars to be replaced by a local service car, always a Met-Cam one when I saw it.