Malaysia citizen

Best you check with JPN - it is even harder than getting a PR. https://en.wikipedia.org/wiki/Malaysian_nationality_law

If you get married it will help her stay in Malaysia on a Long Term Social Visit Pass (but can only apply 6 months after marriage/registration).

There is no quick fix. One route is for her to study in Malaysia under a Student Visa (EMGS) https://educationmalaysia.gov.my/

One of the easiest sectors to find work is in the F&B and hospitality sectors - but that would lead to a Foreign Worker pass and this is processed while outside Malaysia.

City Advance Skill Academy might be helpful in her finding work and a visa. They have an internship system http://casa.edu.my/home/

I would just say don't be tempted to buy a fake visa of any kind because it will probably lead to deportation and a 5 year ban on entering Malaysia. It really is not worth taking the risk.

Owh... so if under employment permit can she still marry to me and stay here with work permit?