What happened after the explosion with Sasuke vs Deidara?

Answer 1

When Kakashi used his sharingan on Deidara, he was trying to cut off Deidara's head to kill him, but Deidara moved so it only cut off his arm.

When that happened, Naruto had a chance to save his friend, Gaara, who Deidara had captured.

After Team Guy arrived, Deidara was outnumbered so he created a Suicide Bombing Clone to escape.

After that, Sakura announced that Gaara had died, and Naruto went berserk saying that it was Chiyo's fault for sealing the Shukaku into Gaara, and if she hadn't sealed the Shukaku into Gaara, then Gaara would still be alive.

Although she was very low on chakra, Chiyo decided to try to revive Gaara as an attempt to apologize. Naruto donated some of his own chakra to help revive Gaara.

With Gaara's revival, Chiyo realizes that the future of Konoha and the Sand would be much better than in her day, and then she dies.

After that, Team Kakashi and Team Guy return Gaara back to the Sand Village, only to take him, Kankuro, Temari and Ebizo (Chiyo's brother) back with them to pay their final respects to Chiyo.

Gaara and Naruto shake hands and each return back to their village.

In between Naruto returning home, it shows Deidara go back to retrieve his missing hand which had his Akatsuki ring on it.

He found Toib and Zetsu there, who both had went to get Sasori's (who had been killed by Sakura and Chiyo) Akatsuki ring.

After that, it shows Danzo with Sai telling him that he would join team Kakashi and his name would be Sai. Danzo also tells Sai to wipe off his grin off his face when he was with him.

And that is all that happens in that arc after Kakashi used his sharingan on Deidara.

Answer 2

Deidara killed himself using his CO, which caused the explosion. Sasuke almost got killed but he summoned Manda to shield himself from the blast. Manda got killed because of the explosion.

Answer 3

Nope, not mention in the manga

Answer 4

They haven't fought in the war yet.