Since I am an uber driver, do I select "my selfemployment work or business has partners" or do I select "My selfemployment work or business earns income from websites..."

You would only need to say that you had partners if you were working with someone else (splitting the income & expenses).

You would only choose the " My self-employment work or business earns income from websites... " option if you own a website that earns you money. Since you don't own the Uber website, you don't need to fill out that part.