My lawyer just told me if I don't pay another retainer, she has to drop me, but I have a court date June 1, now what do I do?

It is unclear what you are asking -- hiring private counsel is a matter of contract, not of right (there are no "public defenders" in American law for civil cases); your options would appear to be to raise sufficient cash and negotiate with your lawyer to stay in the case, to use whatever money you can raise to hire new counsel, to try to represent yourself using the forms through the self help center (http://www.familylawselfhelpcenter.org/), or to apply to Legal Aid (LACSN) for pro bono assistance, if you qualify.