Wa`alykum as-Salamu wa Rahmatullahi wa Barakaatuh.

I do not understand the intent of your question. I do not see any connection between going with faces uncovered and washing face and brushing the teeth and using hygienic products.

According to rules of jurisprudence, permission is the rule; the prohibition is an exception. In other words, we cannot declare something as forbidden without evidence.

Allah Almighty knows best.