Your resident permit (start saying resident permit and not visa, because in France the visa is just the entrance permission, not the authorization to stay, and if you go around saying visa they will find it very annoying and confusing) as a salaire will include your spouse and kids, but they get their own and it needs to be processed along with yours. Call your company. However, if you have some other citizenship that is aiding your right to stay, the situation is different. If you have gotten a job but had no communication from the transfers and hr department or on that subject, double check that the job it real. This kind of thing should be very well covered by your sponsoring company and if it isn’t something is wrong.

This sounds like a really hard situation and it sounds like you know what will help you and get you on the road to happiness. I hope your cousins are welcoming and you get back to California soon!