The missing building mode controls (Pitch & Tilt) are the same as for Rotate/Raise/Lower - L2 & R2.
Tilt Left: L2
Tilt Right: R2
Decrease Pitch: L2
Increase Pitch: R2
Take All/Drop: Triangle (and a pain in the neck if you happen to be dangling next to a cupboard…)
Hotbar Slot: More of a Hotwheel. Select the item in inventory, hold L1 to bring up the wheel, and select the slot to move it to with the Right Toggle. You can swap a filled slot out with the item you have selected by pressing Square, but it won’t work if you’re holding the item.
Drag Item: X (so press to select & press to place).
Move Item: R2. Will shift all [item] within an inventory slot, as opposed to select & place with X (which will prompt for a number for stackable items)
Loot All: Triangle, as per Take All/Drop
There aren’t as many menu toggles as there seem to be for PC. Player List, Main Menu, Event Log, Take off Bracelet are all accessed from the menu opened with the Options button.
Screenshot & Record info could use some wordsmithing, I’ll try & come back to that for you.