The monarchy = to show how important the sacred Catholic nature of the crown was and what happened when it came under threat. The leagues creation highlights the decline in monarchical power.

The nobility = to show how powerful leading nobles could become when the monarchy was weak. The succession crises galvanised and radicalised the catholic nobility.

Religion = to show how the league continued to fuel violence in the 1580s - the league was based on fundamental Gallican values.

Society = to show the broad base of support for the league that existed on different levels within Paris and why it eventually self destructed. 

Both FI and HII refuse Fr bishops the right to participate in the Council of Trent, as they resented papal support for the Emperor and did not want to see the decrees of this Council undermine Gallican ideals. Similarly in 1562 CDM refused to publish the decrees of the Council as they impinged upon the powers of the crown and eroded royal Gallicanism.

Material gain - Calvinism offered them political autonomy, taxes & rents, alliances with sovereign figure heads and control over the church = many Calvinist nobles were not truly dedicated to the reformed faith.