quick answers
You have to pay taxes on all your income.
I believe you can do business as any name unless someone else has done the official thing and registered that name. If you want checks paid to "Dr. karaoke" then you need to tell the bank to accept these checks by arranging for a DBA (Doing business as) I think that you can add this feature to an existing account. Otherwise, advertise as "Dr. Karaoke", but have them pay in cash or write checks to you with your personal (account) name.
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