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You do not need to issue any form to yourself.
You simply report all your business income on the schedule C - http://www.irs.gov/pub/irs-pdf/f1040sc.pdf
You will also report all your business expenses and calculate net business income on that schedule.
Your net business income is a subject of self-employment tax - calculated on the schedule SE - http://www.irs.gov/pub/irs-pdf/f1040sse.pdf
These forms are added to your tax return - form 1040 - http://www.irs.gov/pub/irs-pdf/f1040.pdf
Net business income is reported on the line 12.
Let me know if you need any help with reporting.
Yes - self-employment income is earned income and will qualify you for earned income credit.
To calculate the credit - use the schedule EIC - http://www.irs.gov/pub/irs-pdf/f1040sei.pdf
Let me know if you need help with reporting.