You would normally not have legal recourse against the employer unless you have an employment contract indicating otherwise or the employer discriminated or retaliated against you based on some protected status such as race, age, disability, filing a worker's comp claim, or taking FMLA leave.
Assuming no exceptions apply, you would normally be classified as an employee at will and subject to termination with or without good cause.
I would not include this employment on any applications since the employer is likely to provide a negative reference and indicate you are not rehirable.
As long as no criminal charges brought, there should not be a "record" of this incident.
I hope you found my answer helpful; please click on the GREEN ACCEPT button above for my answer. This is necessary for me to be paid for my work and so that I can get credit for assisting you. Your question will not close, and you will still have the opportunity to follow-up if needed. Leaving a bonus and positive feedback is not required, but doing so is certainly appreciated!
If you have additional questions, please keep in mind that I do not know what you already know or don't know, or with what you need help, unless you tell me. Please consider that I am answering the question or question that is posed in your posting based upon my reading of your post and sometimes misunderstandings can occur. If I did not answer the question you thought you were asking, please respond with the specific question you wanted answered.
Also remember, sometimes the law does not support what we want it to support, but that is not the fault of the person answering the question, so please be courteous. Thank you.