Middle Tennessee coach Rick Stockstill said in a statement "this is not the reflection of our football program we want at Middle Tennessee and we will react accordingly after gathering all the information."
Singletary, a cornerback, and former Blue Raiders wide receiver Anthony Amos were charged with disorderly conduct, according to The (Murfreesboro) Daily News Journal.
Henry, a receiver, was charged with disorderly conduct and evading and resisting arrest. Stickel, an offensive lineman, faces charges of underage consumption, disorderly conduct, resisting arrest and public intoxication. Former defensive lineman Jerrold Frazier was charged with assaulting an officer, resisting arrest and disorderly conduct.
Police didn't immediately return a message Tuesday night.