Yes you are correct AFAIK. I apologize for confusing you with the stereochemistry thing, its just that usually stereochemistry stuff is done before getting into any kind of reactions and/or mechanisms etc (typically in the first 3 or so chapters of an intro to O-chem book, along with acids/bases, nomenclature and all the other fundamental stuff). If you are not required to know about stereochemistry yet, then I guess you're done but just understand that there will be more than 1 major product due to the generation of a stereo center in the product.