How long does this trip takes by bus? Is it possible to fly?
It's not cheap? I have only 8 days time to make this trip..

You can fly from Guatemala City to Flores or Flores to Belize City - spendy. We paid about $115 one way Flores to GUA in August. Bus GUA to Flores is 8-11 hours; lots of people opt for a night bus. Bus or shuttle to Belize border is 2 hours or so and another 1 and 1/2 or so to Belize City. Are you sure you want to cover that much ground on such a short trip?

We paid $162 in Antigua. This includes pickup and shuttle to Airport, plane trip, bus to Tikal from Flores, entrance fee, English tour guide, lunch (Yummy), bus trip to bus station in Flores. We took a private taxi from Flores to Rio Dulce ($110) for 5 people, just to save some time, since we were out of Tikal and would have to wait 3 hours for the bus to leave from Flores. The Bus is about $12.50 . It's a good 3 and 1/2 hour trip. Once in Rio Dulce we went to Livingston one day then we rested and hung out by the pool. The boat to and from Livingston was 160 Q per person.
We took the air conditioned bus from Rio Dulce (Fronteras) at 1:30 PM to Guatemala City for $12.50. No food and just one stop. It took 6 hours from Rio Dulce to Guatemala. The AC bus also has a bathroom and movies (one in Spanish and another in English). We used Fuente del Norte, there are some others. Our retrn from Guatemala City to Antigua cost about $35, also a private taxi, since we were late for the bus from Guatemala City to Antigua.
There was still some time left to visit Antigua (before and after the trip).
You may be able to do Coban from Flores and skip Rio Dulce.
We were lucky with some great weather.