I just want to clarify #2 for the OP.

A woman on her father or husband's sponsorship can get a contractual job here.

If the company agrees to hire her (I don't think it matters if it's full or part time) without changing her sponsorship, she can get a work permit from the Ministry of Labor. The company will have to endorse her application and her permit card will state that she is legally working for them for the duration of her contract.

Students and stay-at-home moms do find some freelance work here occasionally, such as writing content for social media sites or publications, or some creative work. However, I don't know how "legal" those job arrangements are. Same goes for little informal jobs like baby-sitting.