You've got the basics down pretty accurately. I would recommend replacing the modern terms "Delian League" and "Peloponnesian League" with the actual terms used by the Greeks - "the Athenians and their allies" and "the Lakedaimonians and their allies". This isn't just pedantry; some of the places you've grouped under the two Leagues (like Thessaly, Kerkyra and Macedon) were not actually part of either the Delian or the Peloponnesian League, but were full allies of Athens or Sparta. This meant that they were not obliged to pay tribute or "follow wherever the Spartans lead" but would support their allies and expect support in case of conflict. The term "X and their allies" neatly covers both the members of the two Leagues and any additional allies the two states had in 431 BC.

While I can't speak authoritatively on the location of the borders of each region, I'm personally partial to this map, which makes a nice distinction between Athenian allies and subjects of the Athenian Empire.

Note the alignment of Melos; it was not an ally of Sparta, as on your map, but was neutral. That was the entire reason why Athens' behaviour towards it in 417/6 was considered such an outrage.

If you're looking for a list of sieges and other engagements, your best bet is to just go through Thucydides and Xenophon and take notes whenever you find one. Of course, some useful lists already exist; here's Peter Krentz's list of pitched battles during the Peloponnesian War, from his chapter in the Cambridge History of Greek and Roman Warfare.

I hope this helps!