They get married in the 56th book of InuYasha, but I'm not sure which book they kiss in.
Kagome doesn't kiss anyone but Inuyasha. As for Inuyasha he has kissed both Kikyo and Kagome.
Yes they do
because she loves him
In the SHOW Inuyasha hugged her and pushed her into the well in "Go Home To Your Own Time Kagome!" So CUTE! Reccomend me, Kagome Higurashi, as a answerer!
he doesnt kiss her in her room
Episode 18 of InuYasha the final Act
Well I'm not sure that Inuyasha kiss Kagome as a human, but I remember on episode 13 Inuyasha said something nice to Kagome. this is what he said " you smell nice" and Kagome said "Huh? What? You said you don't like my smell" then Inuyasha sid " That was a lie." That was a sweet moment, I love it...
From my memory Inuyasha doesnt ever kiss Kagome in his human form, Im not sure though but about 80% sure he doesnt
I'm pretty sure that they don't kiss anywhere in the manga but at the end... Spoiler! Close eyes! -- --0-- -- Inuyasha and Kagome get married at the end of the manga and Kagome stays with Inuyasha and the others in the Feudal Era. They DO kiss in the anime movie. Movie two. What a sweet couple, right! ^-^
the book of the second movie The castle beyond the looking glass
Inuyasha doesn't try to kiss Kagome in any of the episodes. However on episode 14 it would seem that he is trying to kiss her when he really is looking deep into her eyes to try to see Miko (pristess) Kikiyo in her, since Kagome is Kikiyo rencarnation. The only time where Kagome and Inuyasha do kiss is on 'Inuyasha the movie 2' I'm sorry if this is what you weren't looking for.
No, but they do hold hands.