Help wanted bmw 316ti 1800 se

[Newbmwowner]

I have revantly bought a bmw 316 ti se1800 petrol its 2002 model cars starts and runs great untill i go over 2500 rpm then it loses power and male a loud throaty sound as if there is a k and n fitted (that the only way i can describe it) i put it on the obd2 and got codes p0366 p0011 and p0015 i was thinking timing chain slipped or new cam and crank sensors??? Would i be right i dont really wanna spend money thats not need lol