. . . . Please resend my serial numbers for Platinum 17. . . .
Unfortunately we cannot send you the serial numbers as this is a user to user forum and no one here works for Magix.
You can find your serial numbers by browsing to magix.com, login using the Account login icon top right of home page and the email address and password you use to register your product and select My products.
Do note that Vegas products have their own forum here.
I would suggest you post your future questions there