Basically what it says on the title. Could someone from DC or from one of the US territories (Puerto Rico, Guam, Mariana Islands), legally run for president?
And who would be a good candidate from a territory or DC, for each party? And would they have a shot at winning if they did run?
DC yes, the territories no.
Territories yes, except for American Samoa. Residents of the territories are natural-born citizens.
Yes, but what about the requirement of living in the U.S. for at least 14 years before the election? Territories (as opposed to the District) don't belong to the U.S. "proper", that is don't share the sovereignty, as opposed to states, DC and the tribal areas.
As the wiki says:
If you were born in Puerto Rico, or Guam, or the Virgin Islands, you're eligible to be President, but you need to meet residency requirements.