Here is a fine unit of Hammurabic Babylonian spear. Spearmen from this period can also be represented with javelin and axe or sword. King Hammurabi well as giving us the Law Code was a prolific campaigner and conquered all of Mesopotamia. Enemies would have looked mostly similar.
Chariots were simple rail types and fewer in number compared to later Empires eg Mitanni and Hittites.