You don't mention what the income from the government job is related to the private one, is it much different ?
Also in some places a government job comes with a pension that a private sector job would not, is that a plus point for moving to a government job ?
WRT Social Skills, I think it's a good idea but I wonder if there are ways of improving your social skills independent of where you are working ? Is Toast Masters something you would consider ? There seem to be a number of options within Nepal https://toastmastersnepal.org/clubs-in-nepal/ .