My suggestion is to put the Pokemon down and enjoy what culture and sites these new places have to offer. I think you have a far higher potential to meet people that way.

Jet lag can affect people in different ways and it is also dependent on which direction you are travelling and how many time zones you are skipping. In your case you are travelling forwards in time putting a great deal of time zones behind you. Hence you feel more energetic. Note it will feel the opposite when you return the other direction. In the meantime, enjoy the new found energy.

Are you travelling solo? I prefer that as it is far less stressful. If you are with other people, don't be afraid for 'me' time. Take the opportunity to follow your own interests too. I am jealous by the way.