30mmx100mm is a door lining and not a frame.
I would suggest that you go into a builders merchant and buy a proper door lining set, which includes the housing joints in the head for the ready machined stiles to go into, and a set of thin door stops, all wrapped up in polythene to keep it clean. Always check for straightness.
linings come in two main sizes, either for 100mm stud and 1 layer of plasterboard and skim each side or for a 75mm stud wall plus plasterboard and skim for the two sides.
Should the lining be going between two flat walls then either size will do.
check the floor level between the proposed door opening, and adjust, or you will be cutting the top and bottom of the door off!
Fix the hinge lining in plumb, first, using you're level, and plug/screw each side, about 25mm in and not just down the middle, or the wood in drying will probably move and take the plaster with it.
"Eye in", or "bone" in the striking or latch stile with the one just fixed, use a spreader and keep the lining paralell apart
HTH Rodders