I'm in the greater Hartford area (north of New London, central to CT) so I can't weigh in much but just wanted to say welcome to CT and US and best of luck to you on your emigration. Can't be easy leaving home.

The few times a year I'm around coastal CT it's always nice, so I'm sure you'll find something that you like. Downtown Mystic has a nice area for nightlife. Other towns may too, but I remember being in Mystic a few years ago and there was a lot going on--good food and drink and lots of socializing.