I was thinking that I might be able to get a job with the police because I have experience as a security guard. I was going to go down to the police station, but if I become a police officer or work ...
It could, but it wouldn't be definite.
It would depend on what the lawsuit is about - sue your employer and future employer can find out about it. Sue your landlord for not giving back a security deposit and it wouldn't (not job related).
Also, most employers do a workers comp search before hiring employees to see if the person has filed potentially false wc claims.