First - there's NO way you can have both "interior" & "exterior" hinges at the same time - the pivots would be in different vertical planes.
Second - you need to find out WHERE the movement is occurring- if the sag is caused by - just as example - wear in the hinge pins - you can tighten the bolts until they shear and not solve the problem.
This reminds me of the last car I bought - the chap I got it from said the front end "rattles a little", so I asked the guys to go over it & tighten it up - now bear in mind, this chap & his wife OWN an auto dealership, and the guys he's referring to are the mechanics at the dealership.
"Rattles a little" was an understatement - I got under the car myself and went over the front end - every damn bolt & nut had been torqued down beyond the factory spec. and something still rattled - about a week later, coming to a stop at a traffic light I discovered I could quiet the rattle by resting my foot on the brake lightly.
Five of the eight anti-rattle clips in the front calipers were missing - picked up a set of them & replaced the missing ones and never heard it rattle again.
Just as that rattle from the front of the car was not in the front end, the sag in your doors may not be in the hinges, or may not be where the hinges bolt up.
If the bolts holding the hinges are tight and the door is moving, IF the movement is at the bolts, it will be because something is out of alignment and you're forcing it. It is also possible for the hinge pins to be worn/wearing, allowing movement there, and also sheet metal torn/tearing or stretching.