Can I sue my employer if they didn't give me an explanation of why I was terminated?

I worked for a legal aid office as an agent coordinator. This was pretty much my first time working for an office of that type. My manager promised me that I would be getting paid hourly ($ 8.75) and in bonus ($150.00). The bonus would only count if the client would pay in full. At first everything was fine. I would receive my pay check stubs for the hours that I stayed at office and did my job. My mangers were really nice. They would always take us out to eat at fancy restaurants and we would order anything we wanted. During the holiday season, it would be really slow but I would always bring them money. I was even recognized as a top producer in the office. There were times when my manger wouldn't turn in our time sheets to ADP and just write out a check for ($315.00) which was way off. From that time on, that’s what my pay check would end up being the whole time. I would get paid bi-weekly and my bonuses would sometimes be in cash or checks. I worked 7-8 hours a day 5 days a week. They would always pressure us to bring my files in and that if we didn't, they would just not have us come in for a couple of days. They would always tell us to bring in more files or that we would also just end up getting fired. In the month of March, I finally brought in double digits around $13,000. That was the most I've had ever produced in 6 months of working there. Even with that number, my check was low and the full payments that I brought in they took ripped me off $200. I ended up quitting because I couldn't afford to stay working there and all the pressure that they were putting on us. I couldn't handle it. I did find another job as a junior processor and got fired three days after. The office that I got hired from are connected. All they said is that they had to let me go. Now I have no job, broke, depressed and don't know what to do. On top of that my social security is wrong on my paycheck stub.