Do not use PIR or polystyrene in an intermediate floor above a garage. You will not get the fire resistance you need. Speak to your local Gypsum rep who will give you a specification for a floor build up that gives you the fire resistance and good thermal resistance.
Vent tiles are no good for a roof where the insulation is placed between the rafters - the tile vent will only vent the space that it has been installed in. You should have had a continuous eaves ventilator installed. You really should have ventilated the ridge as well.
There are Architects and there are those who think they are. I see drawings every single day that most should be thoroughly ashamed of - by both architects and by those who think they are.