I really don't know if it's better to run noise reduction before EQ or the other way around. Maybe someone else has some advice...
The thing you don't want to do before noise reduction is to make different changes to different parts of the recording, and you shouldn't apply compression which tends to make everything louder and pushing-up the background noise, especially during the quiet parts.
Noise reduction works best if the noise is consistent.
Amplify & Normalize are both linear volume adjustments so it's not too important when you apply them.
By default, the Amplify effect will adjust the volume up or down as needed for "maximized" 0dB peaks. That's another way of normalizing.
It's generally a good idea to normalize as the last step, no matter what you're doing. The "catch" is, although all normalized files have the same peak level, they don't always have the same perceived loudness. If you have an album and you want to maintain the relative loudness between tracks you need to have one file and normalize it as a whole. Or, you can normalize ("maximize") all of the files individually and then adjust-down any tracks that are "too loud".
EQ can push the peaks over 0dB. That's not a problem for Audacity itself because uses floating-point internally and it has no upper (or lower) limit. But, 0dB is the "digital maximum" and you can clip your DAC during playback, and if you export as a "regular" WAV file or if you make a CD, those formats are hard-limited to 0dB and they will clip if you "try" to go over. Normalizing or the Amplify effect can bring the level down if necessary. Or they the can boost the levels.
Noise Reduction (for laughs. All got shallower again)
That's odd, but of course the main thing is the quality of the sound. If it's changing the appearance of the waves I'd guess it's messing-up the sound. But if it sounds better and you re-adjust the volume later, digital volume adjustments don't affect the sound quality (as long as you keep it linear and don't push it into clipping/distortion).