InuYasha: Turning Back Time, Vol. 1 - Rumiko Takahashi

I like Rumiko Takahashi's art style, especially in One Pound Gospel, a manga I love. I am looking to find a manga where I can advance more than the required first 4 volumes. I hope I've found the right one in Inuyasha.

 

It may be a shoujo, it may be a shounen. It has adventure, time travel (yay!), a brave female MC, some kind of love-hate relationship between her, Kagome, and Inuyasha; reincarnation. And it also has several battles, something I am not reading since... well, a very long time ago.