No, you do not need an EIN, but it may be a 'business' if it is considered self-employment income. If this was a once in a lifetime event and you will never do this kind of work again, then it may be 'Other Income'. This kind of income is usually in Box 3 whereas self-employment is usually in box 7.
Generally, if you did any ''work'' for the income, the IRS considers it to be self-employment, which goes on Schedule C. That is why you are getting the business set-up questions. You probably should report this on Schedule C, but no, you do not need an EIN. Just use your name and home address for the 'business'.