I think it's a bit late to be applying for jobs (especially athrec since I work there and they usually hire before the end of second semester the previous year). I'm not sure about other places on campus like I'm sure there are places still hiring but if you're looking for a job your best bet would be to start super early next year.
But good luck with the job hunting now and yeah MSU does have jobs I believe and if you can get onto OSCAR most jobs there require work study but there may be a few that are willing to hire people without work study.