first to my knowledge the tab for record breakers are not updated so many of the records in there are old (no new record since 2015) and are held by other people now,
1 for high accurracy several players have had daily accuracy on 100% (this is possible if you play few cubes in a day and are lucky with your cubes) but i guess it could be possible to find the players with hightest accuracy for any given month and set that in the monthly stats.
2 and how will you register longest streak player number of cubes with high acc or highest acc of the day
3 to my knowledge it is not any register over the age of players so it will not be possible to find.
4 how will you register longest active player a5hm0r will be the player with earliest registration that is playing now to my knowledge, but was inactive for quite some time. and susi registered about a month later but have been active the whole time