1. Eris is quite small. 2. Eris is very far away!
Current scientific thinking suggests that Eris does not have a gaseous atmosphere. Eris is so cold that its atmosphere is frozen!
Yes, the sun would be a very bright star. The brightness of the sun decreases as the reciprocal of the square of the distance, same as with gravity. Since the current distance to Eris is about 100 AU, this means our sun would be only 1/10,000 as bright. That is still pretty bright, but you should be able to look directly at the sun without squinting from there.
Artemis and Eris do not share a myth, so we can not determine if they liked each other.
No. Eris was only discovered in 2005. Even if a spacecraft was launched for it right then, it would not have gotten there yet. So far there are no missions to Eris.
Eris is in orbit around the sun. It will remain so unless perturbed from its orbit.
Age is relative, but Eris is a personified concept and the daughter of Nyx in most myths. There are some, however, that list Eris as a daughter of Ares. So the answer is "yes and no".
It is said that it looks similar to Pluto, though being as far away from the Sun as it is, it's atmosphere freezes over and gleams brightly reflecting the sunlight changing its image temporally.
No. No spacecraft has gone past Eris, nor are there currently plans to send anything there.
She had so many children, that they do not know how many she had!
I heard from resources that we are not sure why Eris was called Eris.
We should send space probe just like New Horizons Spacecraft to Eris. So we can launch this spacecraft in 2015 to make Jupiter, Saturn, and Neptune flybys then to Eris.