2nd is an event. You just have play until it happens. For 4th you have to defeat the boss on floor 25.
I read the key for 10K score is keeping HP at 20, I confirm!
The bee marks double the dice's value but only using bee dice. Example: If you add a 6 defense dice on a bee mark then you must use a bee dice to double in 12!
I play this game as a hobby when I have to kill time, I improved unintentionally. I'm waiting for more updates.