Yes, it sounds like you might qualify to use TurboTax Deluxe, but it depends what else you have in your situation. Premier is necessary if you have a rental property or investments. Deluxe is great if you only have itemized deductions.
If you don't have any business income or expenses and you disposed of or ended your business, last year, then you don't need to use TurboTax Self-Employed.
You should have a final year return business return for whatever year you stopped your self employed business. If you had any assets in your business (like a vehicle or home office), then you should mark these disposed of and no longer used for business. I can provide instructions, if needed.
The only difference between the editions is access to the additional sections and forms, so it won't make your return more complicated by having these sections. Of course, you shouldn't pay extra if you don't need the section!
In the software, you can skip around them at anytime by clicking the tabs on top and selecting
I'll choose what I work on
and then
Show me the full listing.
