Justice John Paul Stevens Rasul v. Bush (2004) Case

Facts:
1. Four British and Australian citizens were captured by the American military in Pakistan or Afghanistan during the United States' War on Terror.
2. The four men were transported to the American military base in Guantanamo Bay, Cuba.
3. America has a military base in Cuba to keep people there.
4. When the families learned of there arrest they filed suits in federal district court seeking a writ of habeas corpus that would declare the detention unconstitutional.
5. The Center for Constitutional Rights began this case in February 2002, shortly after the first detainees were sent to Guantánamo.
6. The district court agreed with the government, dismissing the case because it found that it did not have jurisdiction.

Questions:
1. Why did they capture them in the first place?
2. Why did they deny the right to an attorney?
3. Why  Guantanamo Bay, Cuba? Why not some where else?
4. Was they dealt with correctly or could it have been better?

Sources:
http://ccrjustice.org/ourcases/past-cases/rasul-bush
http://www.oyez.org/cases/2000-2009/2003/2003_03_334