As far as working in a CSI lab during school, I would recommend preparing a letter and resume aimed at a summer intern or maybe part-time low-level job that might lead to something better. I assume most labs like this are part of a state or federal government, so expect a bureaucratic response. There are also many private labs that do blood work and other analyses for doctors and hospitals which are probably not forensic but at least you gain experience in a lab.
I have absolutely no idea what other studies would benefit you if you were to pursue a career in this field. Presumably you would be part of some law enforcement agency such as city or county police all the way up to the FBI. Each will undoubtedly have required skills and training of their own. The only thing I can suggest is looking for related jobs online, and expanding your networking circles. Good luck.