I did the same on a 1989 NA6. Mine didn't have the screw holding the rotor hat to the hub, so it seems that some-do some-don't..
The rotor may be rusted in place after so many years, so although they're only held on by the wheel nuts they can be stuck. An alternative to the hammer method is that there should be a threaded hole (or two?) on the rotor hat that you can screw a bolt into to break the rotor free from the wheel hub. Not as satisfying as a good belt with a hammer, but less dramatic
Make sure you clean up the face of the wheel hub so the new rotor can sit properly.
You'll find the NA6 backing plates foul the new bigger rotors, so you'll need to get handy with a pair of pliers to make a bit more space for them.
Since you're going to have to undo the brake lines for the swap over, a bit of gladwrap under the master cylinder cap can slow down the leakage. Cap off, bit of gladwrap over the hole, cap on over the gladwrap. Better if you don't let the system drain dry even if you are changing the fluid as then you'd need to bleed the master cylinder which can be a pain.
There's some recent threads about DIY power bleeding to simplify the fluid change. If you are doing the old pedal-down-hold-pedal-up bleeding, don't allow the pedal to go lower than you would normally brake. Don't push it all the way down to the firewall, or you risk damaging the seals inside the master cylinder.
useful guide.
https://mx5vic.org.au/wp-content/uploads/2013/06/DIY-Brakes-Instructions.pdf