No Gaara doesn't have the red chakra. Naruto has it due to the fact that the nine tails is sealed in him. And even if Shikaku (One Tail) did have red chakra Gaara wouldn't be able to use it because the Akatsuki extracted the one tail from him.
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The episode when the Shukaku was ripped out of Gaara was started in episode 10 of Naruto Shippuden and the final scene of the extraction of the Shukaku was in episode 17, I believe.
The One Tail is Shukaku (aka Ichibi no Shukaku). Its the Tanuki that possesses (possessed, if you're far enough into Shippuden) Gaara of the Sand. ^^
No.oh really than how the hell he can make sand with out shukaku later in the show >__> yes he got it back when he did come back alive
Yes and No at the same time. Gaara has the Shukaku when he is a little boy. But when we get to the Shippuden episodes he soon loses his Shukaku and is brought back to life by Grandma Chiyo. Even though he doesn't have his Shukaku he is still able to be Kazekage and control sand. (i answered this question because i know almost everything about Gaara. I'm not obsessed but i love him ALOT!) ^ ^ ^to add a little bit more for those of you who are wondering. Shukaku did NOT give Gaara the power to control sand. That is a common misconception. Shukaku gave Gaara "ultimate protection". Basically Shukaku amplified Gaara's sand by controlling it himself, thus allowing the sand to protect Gaara even when Gaara did not wish it. Gaara's ninjutsu though is the ability to control sand. Now that Shukaku is gone though, Gaara has to use ninja signs in order to control his jutsu, instead of relying on Shukaku to kick butt for him xD Non-the-less Gaara is still my second favourite character. The only person i like more that Gaara is Hidan xD ^ ^ ^ haha hidan. he's kinda lame. he's so emo. XD gaara's favorite. then kakashi. so yeah gaara still has his sand powers but now he can 'feel pain'. because before the shukaku wouldn't let him get hurt.
Hinata doesn't have a chakra type i guess , she has Byakugan and Gentle Fist but no chakra type has been told yet !!