PIR is generally just a sheet of rigid foam that doesn't adhere to anything. It tends to be mounted on and/or between a wooden stud framework. You might not necessarily need or want to extend every socket through the PIR, instead just replacing a section of the wire that serves several existing sockets with a new wire that serves many sockets on the room side of the PIR. Such is one of the ballaches of installing IWI, compared to EWI (which also has its troubles
If you insulate the walls of adjacent rooms you then office room won't lose as much heat into the adjacent ones but don't fall into the trap of thinking that insulating something makes it warmer; heating makes it warmer, and insulating it means less of the paid-for heat leaks away so over time less heating input will be required. This doesn't necessarily make it warmer (that depends on the thermostat) but it makes it cheaper (or if you carry on spending the same amount it would be warmer, but we tend not to control warmth in that way)
I wouldn't personally use PIR/PUR under carpet directly; it's rigid but it wouldn't resist the deformation of someone walking on your floor in heels, for example. If you want to put PIR on the slab and lay a floor covering on it I would consider laying or adhering some 9mm OSB at least
You can't walk on anything laid on top of wool insulation. It needs to be fluffy to trap air and do its work as an insulator. Typically we install short legs into a loft and board on top of those (google Loft Legs) to retain the wool, or we make an assessment as to how much PIR is needed to replace the wool (PIR is typically thermally equivalent to wool 50% thicker so wool 150mm thick could be replaced by PIR 100mm thick) and have the walking area boarded out with PIR underneath and reuse the wool somewhere it can remain fluffy. You'd ideally leave the wool that is between the rafters in place, trimming it so it doesent stick up too much if eg 75mm rafters have been laid with eg 170mm wool (if you compress it too much with the rigid board on top it will put undue pressure on the ceiling plasterboards). The PIR is rigid enough to withstand occasional traffic when in contact with ceiling joists directly