You're covering quite some area there. My next step is usually to get you to choose an area of life and for me then to examine that in more detail using the relevant house(s) and Lots
As a general point the Lots were used for over a thousand years, and the Arab Astrologers in the early medieval period added quite a few of their own. The purpose of the Lot is to extend the analysis of a specific subject. So Lots related to Mother, Father, Children can give more information about family relationships. Lots relating to marriage can give more information regarding any marriage than just looking at the seventh house and its ruler.
The latter point is important because Lots are only used for their specific purpose The Lot of Armies (and police) mentioned by Al-Biruni (who was writing about a thousand years after the beginning of the Hellenistic period) is related to tenth house matters, such as the King (ruler) and government and their ability to perform their duties. The Lot is not applicable to an individual, unless he or she has a governmental role. It would never, under any circumstances be contrasted with, or even analysed with the Lot of the Mother, except where one is building a picture of a ruler's ability to enforce his rule and there is a belief that his mother is the real power behind the throne. For an ordinary 'citizen' the Lot of Armies is not relevant but the Lot of the Mother may be very relevant.
Lots themselves, like the Ascendant, are points. They do not and indeed cannot make aspects with each other. What matters is their house placement , their ruler and any planets that aspect them for good or ill
OK, pick me an area of Life that you want to know more about
So aspects to lot are a relatively modern concept?
I have a question does Lot of Army applies if you are in the military (not necessarily commanding ranks like colonel or related to civilian jobs like president)? I ask because my parent has Lor of Armies in Scorpio too and although we are specifically talking about traditional astrology in this thread, he is very Scorpio when it comes to the military but civilian life not so much minus paranoia (more due to life experience than natal chart). Granted he is Scorpio dominant but the fact he excelled when he joined the military in bootcamp and he still remains an above average soldier even in the officer ranks is what I ask.
I think Part of Armies in his 7th house.
Also do modern lots created by modern astrologers also apply? Is there a lot of astrology?