Translation of asleep

I came on time and two hours later I arrived at Tuxla Gutieres. I was always suspicious here and I never knew whom to trust. Somehow I got to the airport a few hours too early but this is better.
Nevertheless I think that we need to communicate. All in all, we will learn a lot from each other, mostly by writing, but speaking exercises are also really good for your Spanish skills. Is this OK?
The same evening we left Patagonia and flew to the capital of Argentina, Buenos Aires. We have waited a long time for this moment as we have not been in a city for almost two weeks and we usually love the city.