Je n’ai pas vu les appartements mais l’hôtel a une très belle terrace avec une vue de l’eau

I am not sure about the airport related part of the question. However, regardign Tikal, you really are best to have a guide take you out there. There are numerous places in town (not far from the hotel) who offer tours. Negotiate, be prepared to walk away in order to get the best price possible. My recommendation is that you sign up for a sunrise tour. They will pick you bright and early from the hotel. The cost is slightly higher for this tour, but the experience is so worth it. The tour will be done by like 10 AM and then you can go back to the hotel and relax in the pool. Another option would be to hire a lancha to take you across the lake.

I stayed there last summer, while the hotel doesn't have it's own parking there is parking on the streets, which means you get whatever space you can find to park in...no guarantees. I really enjoyed staying at the hotel.