To answer your first question, you should enter your own name, as the representative of the company. That is used to prepare the tax interview. Once in the interview you should follow their instructions, and if you have to enter an entity name then you should do that.
The most important thing you provide is your tax identification number. If you're collecting payments on behalf of your business then you'll generally be using an EIN, otherwise for personal income you can provide your SSN.
The system we use has a "name change queue" that gets processed asynchronously that we go through after you've submitted the interview. We can verify any changes if necessary after they've looked up your information in the IRS database. If a name needs to be corrected it's generally not a big deal, the most important thing is you provide the correct tax number, since that's how the IRS is going to associate the income to either you or your business when we file 1009k.