Research  Goodwill      for your answer to the "rest is the Business Name" question

"which the Owner wants the Corp to repay him back in the future?"

If it looks like a shareholder loan and acts like a shareholder loan, it gets documented as a shareholder loan.

Thank you.  

Do I have to file form 8594 for the Purchase of the Business?

Sorry for the additional question?

You'll need to read "Who Must File" here:

https://www.irs.gov/instructions/i8594

here is a link. https://www.irs.gov/pub/irs-pdf/i8594.pdf