If you do  not have an employment contract, you are an employee at will; an employee at will may be terminated at any time, for any reason. (Or could have his/her hours cut, even if he/she was considered a "full-time" employee.) There is also no law against telling other employees of a termination before the terminated employee. What you write about, therefore, appears to be legal.Note that if the store claims you were fired for LP and you believe that is not true, if they tell anyone that, you may have a claim or case against them for defamation--for making an untrue statement of fact about you to third parties. Also, there is no central datebase or repository of the reasons why people were terminated, so it is not a given that this would come up in the first place on seeking new employment.