I'm clearly designated as an impersonator, not claiming to be the celebrity themselves. If it was illegal, believe me there would not be as many impersonators in the real world as there, but anyway I've included some information nonetheless.
Legally: An entertainer impersonates a celebrity, generally for entertainment, and makes fun of their recent scandals or known behavior patterns. Especially popular objects of impersonation are Elvis (see Elvis impersonator), Abraham Lincoln, and Lenin. Entertainers who impersonate multiple celebrities as part of their act, can be sorted into impressionists and celebrity impersonators.
Illegally: As part of a criminal act such as identity theft. This is usually where the criminal is trying to assume the identity of another, in order to commit fraud, such as accessing confidential information, or to gain property not belonging to them. Also known as social engineering and impostors.
Charging for the service of me taking the time to appear is not illegal, and in the end it's all in good fun.