Not exactly. The Rin-ne anime may not encompass every aspect of the manga. There are often differences and omissions to adapt to the medium of animation.
Sesshomaru came across Rin when he was in a vulnerable state. Rin's innocent and caring nature drew them together. It was a pivotal moment that shaped their future interactions.
In visual novels, 'be' is short for bad ending which is an important aspect. It gives a different flavor to the overall narrative experience. A 'be' can shock the player, make them sad or disappointed, but also makes the story more memorable. Regarding 'ne', I'm not really sure. It could be a unique term in some indie visual novels or a local jargon within a specific community of visual novel enthusiasts. It might also be a typing error where someone meant to type something else like 'new' or 'net' in relation to the visual novel's online or updated content.
I'm not entirely sure what specific fanfiction you're looking for with this title. It could potentially be a story where the energetic Naruto dance is somehow combined with the unique style of 2NE1 in a fictional scenario. Maybe it's about a character from Naruto who is a huge 2NE1 fan and starts doing their own version of the Naruto dance inspired by 2NE1's music.