Thanks for the history. As always I enjoy reading it. Unfortunately, I only read until Hannibal. You covered too much history in one article. Spread it bit out in different articles - (only my opinion)
Two things I picked up.
First, it was not the Roman Kingdom. The Roman Kingdom exist from 753 to 509 BC after which it converted to the Republic until about 44 AD (Ceasar's death). Hannibal fourth Rome from 218 to 201 BC. Your title should refer to the Roman Republic.
Second, Hannibal was not defeated in Italia. After they could not defeat Hannibal, the Romans attack Carthage, which forced Hannibal to go back. At Carthage, Hannibal was defeated.
Looking forward seeing more history articles :)