Distortion in new Car Speakers?

I don't know where people come from with the idea of "breaking in" your speakers. It's bullshit! The newer it is, the better it works. And yes, a new head unit will work wonders with the speakers. I also think it distorts because of b, but it may be that it happens in the head unit (clipping at the amp in the head unit) and not at the speakers. The speakers are new, and Alpine Type S is a reasonably good brand. I'd recommend installing a mid-/high-p crossover before each speaker, to keep the speaker from playing low frequencies. Low frequencies carry a larger amp rating, so it could damage your speakers beyond repair. A good speaker rule to remember is simply: If it sounds bad, switch it off. Bad sound is an indication of something bad in the system.