If you are fortunate enough to have a job, you should keep it if at all possible, until a better one comes along. Facing the prospect of homelessness because of no money to pay for anything every day is not fun.
If there is any way to document when you get to work, use it. Maybe there are other workers who can vouch for you always being on time. Really gotta cover your ass in this world... Going to school doesn't guarantee a job either (I know this from experience...). Just keep fighting the good fight and hopefully there will be opportunities for all of us soon.