Explain these "laws of war" or is that merely a catch phrase out of a 'rat playbook to emphasize that our military is a bunch of "baby killers".
“Explain these “laws of war””
The Geneva and Hague Conventions, and the US Uniform Code of Military Conduct, mainly.
Explain these laws of war
A simple google search reveals the wikipedia article as its first result - which explains distinction and proportionality.
In the USA, the Military is specifically restricted from Law Enforcement functions by the Posse Comitatus Act.