Hej Jonte,
Azimuth adjustment is fairly straigthforward. I have the same model, NAD 6325.
Ideally, you should use a plastic (ie non metallic) screwdriver, but I've been OK with a plain non-magnetic steel phillips screwdriver, as long as you're careful not to touch the play head.
The playback azimuth screw is visible on your photo just to the left of the head.
The plastic front lid is very easy to slide off and remove. This way, you can turn the screw while the tape is playing.
Use headphones and listen while turning, you should be able to tune into a point where the sound is optimal. It's very obvious once you listen.
For this NAD deck, the sweet spot should normally not be more than half-a-turn from the factory position of the screw. Turn it half way to the left, then half a turn to the right.
If you have many tapes recorded with the same walkman, the azimuth should be more or less the same for all tapes, meaning you won't have to adjust each tape individually once you found a spot that you're satisfied with.