1) Yes.
2) However, it is not permissible for a woman to show her hair to a non-mahram man at all.
3) If these creams form a layer on the hair, then the hair must be separated and the scalp must be wiped for ablution. As for washing, it does not harm, because washing the hair is not obligatory, but rather the water must be delivered to the scalp.
4) No problem