Shemot 2 is part of the larger unit "Slavery and Redemption" which encompasses the first fifteen chapters of Sefer Shemot. For elaboration, various possible subdivisions of this bigger unit, as well as the relationship between Chapters 1 and 2, see Structure of Sefer Shemot.
Characters/Plot – Scene I speaks of the infant Moshe being saved while Scene II speaks of the adult Moshe saving others. The Afterword shifts towards the nation crying to Hashem to be saved.
Lead Words – The word "יֶלֶד" appears 8 times (7 singular, 1 plural) in Scene I. In Scene II, in contrast, the word "אִישׁ" appears 8 times (7 singular, 1 plural).7
Scene I may be further divided into 2 subscenes, verses 1-4 and verses 5-10.8
Characters – Subscene A focuses on the interaction between Moshe and his family while Subscene B focuses on Moshe's interaction with an outsider, Paroh's daughter.
Plot – The first subscene portrays the dangers lurking for Moshe while the second details his salvation.
The second section of the chapter can also be divided into 2 subscenes, verses 11-15 and verses 16-22.
Setting – Each scene takes place in a different locale, Egypt and Midyan.
Plot – In the first subscene Moshe's intercession on behalf of others leads to his fleeing, while in the second his intervention leads to his finding sanctuary.
Characters – In the first subscene Moshe interacts with his brethren while in the second he involves himself with total strangers.