Unemployment

How exactly does it work? I posted about two weeks ago about my boss firing me (this will be my last week) because I was too young ? I've only worked there since mid March, so I'm pretty sure I don't qualify for unemployment ? I've been applying EVERYWHERE since this happened and I can't find anything ? this isn't THAT big of a deal but my three year old is speech delayed and she's REALLY starting to speak well and I think it's because of the school she's in and I don't want to take her out but we can't afford to keep her there if I'm staying home. I wish I could sue him ?