The break out around her mouth is just hormonal, she had the surgery not long time ago and those types of problems disappear gradually. From the video it seems they are mostly just acne scars and those need time to heal.
Not really a fan of Ariana, also disliking her behavior, I know that the fake tan is crap, but she actually does have enough melanin to be "darker" since she is south European. Plus mass media likes to "light up" any kind of photo of celebrities (not sure why they even do that, but here are some canditds from the past of her real skin tone). Would be fine, if she would just stick to that, spray tans are harmful chemicals anyway.
Well, japanese hair salon personal is not used to caucasian hair nor skin tone matching in general. Also those colors are specially for Asians only, so you can guess why her hair always ends so unpleasant. And she did dye her hair at home and the result was bad as well.