Jurisdiction of one state over another

[Jethro]

First define territory and possession of the United States.

Article I, §8 "Necessary and proper" clause
Article IV, §3 "Needful Rules and Regulations" clause

The United States holds three territories: American Samoa and Guam in the Pacific Ocean and the U.S. Virgin Islands in the Caribbean Sea. Although they are governed by the United States, the territories do not have statehood status, and this lesser legal and political status sets them apart from the rest of the United States.
http://legal-dictionary.thefreedicti...S.+territories

As a matter of law, you are correct. As a matter of presumption, there are more than three.

Territories, Possessions, and Influenced Areas of the United States of America http://www.rationalrevolution.net/ar...erritories.htm

This could be better summarized as places subject to the exclusive legislative jurisdiction of the US. Those places are not limited to "official" territories. e.g. Click on this link:https://www.cia.gov/library/publicat...k/geos/us.html
Then click on and expand the "Government ::UNITED STATES" section. You'll see a list of "states" that are mere "Administrations divisions" of the US. Those "states" are also in the same general category as D.C., which should tell you -- in addition to those "state" names not being the proper names of the several States -- you're dealing with "states" that are territorial nature.