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The 16 year old is not that bad. Not up to the hygienic standards the LW was raised with apparently - but she's not all that bad! Teens are often no little bit sloppy - I was. No haircuts without prompting - oh yeah, I'd never go - why bother? Women's hair doesn't need that much cutting anyway (I still don't go much). Continuing to use a towel with a stain on it - I can see it - she doesn't mention the size - is it a smear - or a barely visible spot?
She just doesn't sound that bad - a bit spoiled, a bit sloppy, needs some life lessons - in other words - a teenager!
But yeah, if you aren't ready to be a parent to the girl, you shouldn't be in a relationship with her father.