Definitely, I'd keep it and use it. However, the question about being born to the same parents depends on how this do-over card works. If my parents would be the same age they are now, then I'd definitely pick different ones. If they were to magically be rejuvenated and/or I sent back in time, then I'd keep the ones I have.
In either case, I'd definitely want to keep my memories. What's the point of doing your life over if you can't remember what you did the last time to avoid the same mistakes?