After your Federal and state refunds are sent out to you...or after you pay each of them what you owed on the original..
Then you will need to start amended tax returns......and you will likely be required to upgrade to, and pay for the SE version to do the amended forms to add your 1099-MISC income and any expenses for that "SE Business" income.
Don't bother starting any amendments until the end of April...your original tax filings cannot be stopped (unless the originals were rejected and you have not re-E-filed yet)
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*