I have a few questions concerning the Delta Connection Academy:
1. How much does their Traditional Program and their Airline Transport Pilot International cost?
Too much. Without question, you can find more for less.
2. What are the differences between them?
3. How long does the Airline Transport Pilot International last?
4. After these programs do you go to a regional airline or is there a chance to directly apply as a Delta pilot?
You don't "go" to a regional airline. They might be able to get you an interview. That is dependent on the economy and if any airlines are hiring. In the next 12-24 months, that does not appear to be likely.
Anyone can apply at Delta, so your chance is 100%. However, your chance of being hired will be 0%. US major airlines do not hire 250 hour pilots unlike European carriers.
5. In case you go first to a Delta Connection company, who long would it take to be able to go to Delta and do you have all licenes to become Delta pilot?
If you're fortunate enough to go to a DC carrier right out of DCA, the amount of time it would take to get to Delta (if they ever hire you), would be dependent on several factors including: US economy, number of pilots unemployed at the time you apply and the amount of time it took you to become a regional captain and gather at least 1,500 hours PIC. In order to be hired by Delta, you must have a FAA ATP license. In order to be competitive, it also helps to have a Bachelors Degree and internal recommendations. Delta also is partial to former military pilots.
6. And finally tell me which program includes the four year Barchelor and what does it cost/would it take?