In answer to you question,"Yes," there is more than one keyword assigned to each planet or other body. Signs add another color to the appropriate keywords to use. Houses a third. AFAIK.
One curious thing about the Gemini chart above is that it appears to use the equal house system, which doesn't give a particularly good abstract of the relation of the Earth to its daily spin about its rotational axis. This also affects the houses.
There are a number of different charts for the July 4th date, the signing of the Declaration of Independence. I note in the Gemini USA chart (Declaration of Independence) there are several 5th harmonic conjunctions in the natal geocentric to transits, and quite a pattern in the heliocentric, which can be examined more closely in higher harmonics. On the most intriguing day (to me), July 18th, there are various planetary synchronic waveforms. It will be an interesting and dynamic day beginning early in the morning, EDT. I also think whatever the heliocentric chart is telling me, it begins around the 16th or thereabouts and evolves over the next several days. I haven't yet studied interpretive events in the geocentric related to these dates. You note natal Uranus square transiting Uranus, and the heliocentrics confirm this, though it barely scratches the surface of all the dynamics over several days. It is what I alluded to with my Uranus/Mars comment above.
Another curiosity about the Gemini USA chart and the Supreme Court: I'm not convinced that the Declaration of Independence signing is the best chart to use in relation to the establishment of SCOTUS. Certainly it's a 'legal' document, but when was the SCOTUS established? Articles of Confederation? U.S. Constitution? I suspect the latter, but only because I'm more familiar with it than with its predecessor. If I remember, the Articles of Confederation were stronger in States rights, whereas the U.S. Constitution represented the establishment of a more centralized government. According to:
http://www.supremecourtus.gov/about/about.html the Constitution of the United States is listed first. According to this PDF:
http://www.supremecourtus.gov/about/members.pdf the first Justice started tenure in 1789. So, I think we have a partial answer.