I was sure it was supposed to be one because it really doesn't look right with two, I've got an exam to get entry into a course and I've always thought English was one of my strong points, guess I'm just being a bit anxious!

Hi, I'm having a bit of trouble with the following sentence, any help would be appreciated. Did Michael bring the lunch or do we need to get the shopping Is it correct to use a question mark for both questions within the sentence? Thanks