Tax Year Prior to 2020: I've made over $1000 on Amazon MTurk, but did not receive any 1099-K or 1099-MISC from them. Should I input my earnings under Business net income, or less common income?

You can use your own address as your business address since you are considered self-employed.  You can also use your own name and social security number.

The others you mentioned (1099-A, 1099-C, Less Common Income) wouldn't be appropriate in your situation.  (One of those is primarily for foreclosures and the other is cancellation of debt.)

Here's how to report the income:

You will file a Schedule C as a self-employed person.  The Schedule C will flow onto your individual income tax return (Form 1040) and be netted with other personal income and expenses.

How to get to that area :   While inside the software and working on your return, type Schedule C in the Search at the top of the screen (you may see a magnifying glass there).  There will be a popup that says Jump to Schedule C.  Select that to get to the general area. 

When you set up your business, you can use your own name, address, and social security number. Then, when done with the Business Profile:

• go to Business Income and Expenses
• select Edit next to your business (if it is there)
• scroll to Business Income (since you didn't receive a Form 1099-MISC, you can skip past that.)
• then, on the next screen, you will see General Income (for income received that is not on a 1099-MISC form)
• enter a description for the income (ex. Services, or Consulting, Customer Sales) and the amount

Follow through all the areas in the Business section of the TurboTax software and it will provide you with a lot of assistance. You'll notice blue links that have more information and details about the particular sections that will be extremely helpful. 

Also, this link may be helpful to you IRS Small Business Help Center .