How to install a stock VW 16 in wheel from a 15 in wheel

What is your question?

I purchased the car with Drag wheel, which I didn't like. I found the 16 in Jetta stock tires and I like them. So How do I install the wheels from a 15 in. Do I need a longer lug nut bolt, and do I need spacers? I installed the wheels with the lug nuts I was given. But the passenger side front wheel came off, before I got out of the parking lot. So, the lug nuts for that tire along with the supposed spare is stripped or bent. So what size lug nut do I need because all the whe eels have a little gap between the hubcap and the wheel. But the wheel center fits fine

How long has your 2006 Volkswagen Jetta had this problem?

4 days