1)does awoman haev to make ghusl if sshe wants to have intercourse immediately after her periods? 2)does a man need to make ghusl if he wants to have intercourse after having a nocturnal emission?

1. If a female experiences a maximum course of periods which is ten days, or if she has a set habit every month, for example, five days, etc. she may have intercourse with her husband before taking a bath. If her periods terminates before her habitual monthly cycle, then she cannot have intercourse until she takes a bath. (Tahtawi)
2. It is Mustahabb for a man to take a bath after nocturnal emission and before having intercourse with his wife or he should, at least, wash his private parts.

and Allah Ta'ala Knows Best

Mufti Ebrahim Desai