Looking at the distortion peak at about 1.8kHz, we note it is purely 3rd harmonic. That puts the corresponding energy at 5.4 kHz, just where we see a peak that is almost certainly the woofer's breakup. This is hardly a surprise, and is not a trivial thing to control. Using an elliptic section or a notch can often help get the crossover away from such nasties, but this one is just going to be too hard, with what is a somewhat high crossover frequency. OTOH, it only peaks to less than 1% in a narrow range, which for a speaker isn't massively dreadful in context. I would imagine it is audible, but may not be overly objectionable. It might add a bit of zing to the sound.
That massive peak above 200Hz looks really bad, and I wonder if there isn't a mundane mechanical issue at play. Something needs to be broken for that to happen. The Q is way to high to be something operating nominally.