Request for translation of (language name) into Mon

As Raymond has already said, problem number 2 can be easily fixed by correcting and completing the translation of the Universal Language Selector extension. It's pretty small and should take just a few minutes. If you do it before Monday and there won't be any technical issues, it will probably appear on the Mon Wikipedia by the end of next week.

About the list of languages: The names of languages are supposed to appear in those languages, because they are primarily for readers, and they need to see their language in a wiki whose language they don't know. For example, someone who speaks Korean doesn't know that their language is called "ကိုရီးယား" in Mon. In the English Wikipedia, there's a gadget called SidebarTranslate, which does something like what you're asking for, and you can try importing it to the Mon sites, but you'll have to do it yourself because it's not something officially supported.