Yes Damara has an East Beforan accent (which is really just very poor Japanese). Eridan is also mentioned having an accent on his introduction page here. 

The psionic abilities are common in yellow-blooded castes as mentioned on this page. The Condese has developed these psionic abilities over time. Considering she also shoots out blue and red beams there probably aren’t any color variation. 

The incident has never been revealed in-comic.

You can find a summary of the Ancestor’s lives here. The Psiioniic was a gifted psionic who was a slave before he became a follower of the Signless. After the death of the Signless, the Psiioniic was grafted to the flagship of the Condesce. She extended his life span with her touch and eventually died as a result of the Vast Glub. 

The Handmaid’s curse is that of conditional mortality, meaning she could only die on certain conditions. It extended her life span so that Lord English could enslave for however long he wanted. 

Gamzee had been consuming sopor slime pies before the session and once the trolls got trapped on the meteor he no longer had access to the pies. He says here to Dave that he hasn’t had a pie in a while. After that Dave sends him a video of some Insane Clown Posse which makes him very angry. 

Juju’s are magical objects that have no traceable origin and each have a unique use and rules governing their use. Here is a list of known jujus. 

He gets knocked into the ocean here.  

Yes he does on this page.

The prize is that the players get to rule over the universe they create as gods.