I'm sorry but I don't really understand the first question ðŸ˜ðŸ˜
As for attributes stay the same, it's the Love and Lore stats. In this way you can keep upping your Love and Lore until they reach the highest number. Everything stays the same. The BE and counter and heart resets back to that day. So if you have 1 heart with LI1 on day 2 but reach 3 hearts with LI1 on day 3, if you go back to day 2, LI1's heart will be the same as pervious' day 2 (1 heart). If you go back to day 3 and does not roll the same result for the event, which means you don't get to increase the heart, then it's still 1 heart. If you go back to day 4, you have 3 hearts.
Honestly, it could be a bit complicated and convoluted (I should fix it somehow). So my recommendation for every solo player is just... do whatever you think is the easiest and most fun. If you want to keep everything, you can keep everything. If you want to pick a day to go back to, don't roll and just pick a day.