If I worked over 40 hours per week am I entitled to overtime?

Assuming that you are a nonexempt employee (i.e. eligible for overtime), which a home health aid normally would be, you must be paid overtime for hours over 40 worked during a week. The labor dept. may be able to help  you; your other option to recover the money would be to bring a lawsuit (if it would be economically worth it).

Note that if the company made a false statement publically (including to one other person or company) which caused you injury (such as not gaining employment), you may have been defamed and you might have a lawsuit for that, too.