The second season of inuyasha is called Inuyasha: The final acts.
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Season 2 of "Inuyasha" has 26 episodes .
Typically the movies take place between episodes, but the events of the movies are typically not referred to in the animated TV series or its conclusion, Inuyasha: The Final Act. For that reason, they could also be considered to take place outsideof the series continuity.
Look for the Manga Volume where InuYasha, Kagome, Miroku, and Shippo are in Togenkyo. Which I'm guessing is either in season 2 of the series.
It is the second movie it is a little while before inuyasha and kagome kiss.
There won't be an other video season. But if you would like to read the rest of the episodes of the inuyasha manga, you can continue at chapter 355 called "Using the Fragment". Hoped that answered it...