A splined fit should not fall on, everything needs to be straight and lined up to work. the parts can drag on each other while putting them together but it should not require any tool besides your hands (or very reasonable taps from the grip end of a screw driver).
Pull your pieces apart and see where they are interfering, should be a few new witness marks.
Eyeball and use a cheap calipers to measure your old against your new to figure out what is what.
and you are right, dont pound on gearbox shafts. Best that can happen is you dont damage a cog or pooch out a case.
Lee