I don't speak Russian, but I'll answer as best as I can:
1) Yes, it is possible. Within the data folder for the game, there is a file called NuclearThrone.sav, which you can copy or upload to, say, Google Drive. On your new phone, first download and then open the game to generate the .sav file, then get the original file from whatever you uploaded it to and replace the new .sav file with the one from the previous phone.
2) I do believe Toncho has stated they do not plan on making co-op, but I could be wrong.