Here's my analysis. It's pretty much the same as yours.
Action verb: “love”
Subject: “I”
Direct object phrase: “to throw boomerangs to myself”. Within the
phrase, “to throw” is the main direct object of “love”, “boomerangs”
is the direct object of “to throw”, and “to myself” is a prepositional
phrase that acts as an adverb and modifies “to throw”. “to myself”
answers the question “throw where?” or “throw how?”
Conclusions: I love to throw. The thing I love to throw is boomerangs.
I love to throw them to myself.