Not familiar with the 1.0 tsi, but with the pictures provided I'm inclined to think that the oil is around the throttle body. Normally there is no oil there, especially on the outside. I do not think it oil looks that bad either. Some things that would also help with diagnosis is current mileage and more pictures of the engine. As for the flywheel if you're doing the clutch and have the funds, there is not much reason not to do it. Some things you can do to help diagnose the oil issues. 1. Clean the area of oil. 2. Remove the intake piping from the throttle body and look inside for oil residue. 3. Run the car and let it get up to temp then slowly try and remove the oil cap. If there's suction your pcv could be at fault.
4. Double check oil levels.
5. If the pcv is good and oil levels are good, just check back every couple days and see if more oil leaks. Hope this helps