Yeah I gotta go so I'll make this my last statement for the day. Databooks has Kakashi at a 4.5 for taijutsu and when you spar, it's different from when you're fighting full on. From what you're saying it sounds more like Gai's fighting Kakashi with the gates full blast. I know that's not what you're trying to say but remember sparing and all out is diff, you use control when sparing. However Gai is deff holding back when he spars with kakashi (also their "rivalry" sounds more like meanigless little games but I don't doubt that they fight...I'm also wondering if gai was blowing steam when he said he always used to beat Kakashi during the chuunin exams...most likly rightxd).
Genjutsu yes.
Ninjutsu if you're talking about battle purposes, for the moment yes but Tsunade's medical jutsu keeps her at fine level with kakashi even if it's not offensive because it keeps her alive and durrable for the battle while Kakshi expends chakra for his jutsu. Short ranged isn't a disadvantage as she'll most likly be defending for the most part and she wants him at a distance so he can't use his stronger techniques (Kamui being the exception being an all ranged use however I've explained my piece on that)
There are records of shinobi skills and obviously Tsunade must know about the skills of her subordinates, how would she know who to put on certian missions if she didn't know shinobi specific skill sets and Kakashi's technique (hide behind a clone for a moment) isn't very hard to figure out Choza already knew about how Kakashi fought, Tsunade being Hokage should have good knowledge of Kakashi's abilities not only for that but for his repuation. It's not a one way street though both being from Konoha and Tsunade being the sexy Sannin she is known for her abilities so they both have knowledge on each other (I always assume in vs threads that each party has equal knowledge of each other if it's never specified).
Conclusion before I go, Kakashi is going to be the offender, Tsunade is the defender and each of them are very powerful in both of those levels and it leads me to a stalemate at the moment, I'm only defending Tsunade as people underestimate her too much and I'm very anxious to see the chapters be brought back to the Kage and Madara fight.
I have to go, do with this as you may but I probably won't be on the base that much untill the weekend because of school so if I don't remember this, this will probably be my last statement until this topic comes up again (because threads are never repeated on Narutobase

) or if this one is still alive (I doubt it, most vs threads don't live past 3 or four days at the longest, more contriversial ones last longer of course)
Anyway Good Night Narutbobase.