7.0×16 inch rims on 1.0 Lupo

Hello, have been driving my 50hp Lupo BJ.99 for 3 years now and would like to say goodbye to the 13 inch wheels. At ebay I found the following: ATS 7.0×16 inch rims including tires NEW for 550€. In addition a few questions. Does this fit under the Lupo without further troubleshooting work or should I rather look for 15 inch rims? What about the mounted tires of a company called “Wanli” to hold? In the auction also says: “In addition, with TÜV-certificates, registration in the vehicle papers e What would that cost? Would be my first wheel purchase, so the questions. Hope you can help me… MfG, Benni