I just found out that my bosses from a part time job did not put me back on the calender to work. The problem is they have informed everyone but me of this and have told everyone but me the
I reason was because I stole from the register. This however is not true and I want to know my rights to have my name restored and to its former good standing?

Appears to be defamation.

You might want to see an attorney about writing a demand letter to your former employer.