I have changed the practice area to employment law. I hope a lawyer who practices that area can answer your question.
This is not legal advice. You should always discuss the specifics of your issue in person with an attorney. Be aware that there are time limits on all claims that depend on the kind of claim, so do not delay in seeking an attorney.
Potentially. Depending on your state law, the refusal of an offer of employment may disqualify you from eligibility for ongoing unemployment benefits.
Please consult your local unemployment office for confirmation.
Please check the law of your state