From the Doraemon Wikia:
Nobita's eyes are never drawn consistently. Sometimes they look like the number 3, sometimes they're black beaded, and sometimes, like in the case of the recent movies, they're normal eyes.
She's one of Nobita's classmates that appears as a recurring character. The 2005 series seems to have introduced more minor characters, most of whom are unnamed.
From the episode 熱血！のび太の運動会, the general layout of the classroom looks something like this (only recurring characters are indicated):
[ Girl A | Girl D ]
[ × | Shizuka ] ...
According to various sources, Dorami's dislike of roaches is more along the lines of ordinary people's disgust of the insect species, mostly due to their nature. The original manga never established canon for this and her dislike was retconned into the anime and Doraemon Encyclopedia (ドラえもん百科) after the manga had already been published.
The first ...
The text on the upper-left reads 「大晦日だよ！ドラえもん」(Oomisoka dayo! Doraemon, "It's New Year's Eve!! Doraemon"), which is the title of the show.
The subtitle reads「人類を救うために、ドラ・ザ・仮面登場！！」 (Jinrui wo sukuu tame ni, Dora The Kamen toujou!!, "To save mankind, Dora The Kamen appears!!).
This is from 2001's Doraemon New Year's Eve special episode, titled 「大晦日だよ！ドラえもん!!...
The "Battle on Easter Island" appears in the 3rd chapter of "The Devil of Time and Space" arc (時空の魔神), in the 2nd volume of The Doraemons Special (ザ・ドラえもんズ スペシャル) manga.
The arc's storyline revolves around Nostradamus' "1999 prophecy".
Nostradamus the prophet, who was sealed, escapes from the space and time ...
These are the two I can find. The 1973 version did not adapt this story. Both are without subtitles though.
As for the summary you want, I was only able to find a Chinese version.
1979 Version in Chinese
2005 Version in Cantonese
It not clearly mentioned anywhere that how Doraemon earns money. But by watching Episodes of Doraemon we can come to conclusions of earning resources.
1. Owner of Doraemon (Nobita's great-great-grandson - Sewashi) is funding Doraemon.
The reason for which Doraemon came from future is that to improve the academic performance of Nobita. Because of this ...
Expanding Astral Sea's answer, the story described in the question is about "Kaguya Robot", originally from manga volume 37 (under Tentoumusi comics label). The theme is based on "The Tale of Princess Kaguya".
The 1979 version anime (episode 736) with the same title "Kaguya Robot" adapted the story faithfully. (This is the one that's described in the ...