Request for translation of (language name) into Mon
I do not know if I have permission to translate (language name) to Mon translation, if I have permission to translate, I would like to request a link, the need for my translation is shown in the following photo.
I'm busy daily on project Wiki developing Mon and other languages, thank you very much.
If I understand no. 1 right, you want to translate the language names? Sadly it is not possible via translatewiki.net. Language names are imported from the external CLDR project ~ twice per year. Imported into the extension CLDR. As you can see, there is no file for Mon: https://gerrit.wikimedia.org/r/plugins/gitiles/mediawiki/extensions/cldr/+/refs/heads/master/CldrNames/
In this case a "local" file can be submitted to the Wikimedia Gerrit. For examples see the list https://gerrit.wikimedia.org/r/plugins/gitiles/mediawiki/extensions/cldr/+/refs/heads/master/LocalNames/
Do I have the right to ask for Mon?, if I had the opportunity to request for SD, I would start translating that file, the mix of Mon letter and Burmese letter in the wiki project disappointed me to translate. This means that not all of us Mon people understand the Burmese language, most Mon people in Burma understand the Burmese language, but the Mon people in (Mon people in Thailand, Mon people in South Korea, Mon people in South America) do not understand their Burmese language. I was born in Burma and moved to Thailand as a child as a result of the local war, so I know a lot about these things, my sister User 우습게 understands very little Burmese language, thanks..
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.