Hi R-Doman, I'm really glad to hear that you like it! I have just finished implementing, in an internal build, the ability to save lap records locally. This also opens up the possibility to have some progression saved across sessions, so I can say that it's coming soon (TM) : ) I can't promise dates as I am still deciding some key aspects of it and it will need some testing but it should come sooner rather than later.
This is really coming along, I'm very impressed. The career mode is great, really good work. The one thing you might not have considered is making another difficulty that has a mix of AI racers. The reason I say this is sometimes the legends are way too fast and the beginners are way too slow, and the pros just clump together. A mix of them would also mean I would have to really fight for first but also shouldn't come last much. Hope this is useful feedback, keep up the good work!