I am opening a business which is going to offer. translation, ESl teaching, Notary public, travel tickets and western union. the IRS is asking me what type of business I have, so I can get tax Id number. What would be the type of business? I am doing so many things that the types of business are not matching

A general description of your business is enough for the IRS. Some people have described their activities as "recreational materials vendor" (drug dealer) and gotten their FIN. They are mainly interested in you getting a FIN (Federal Identification Number) and that you pay your taxes. You could describe your business as "translation and cultural assistance service," or just "cultural assistance service."