Ya the biggest thing that stands out to me is your civics. Why in the world aren't you running Bureaucracy? Organized Religion wouldn't be a bad idea either.
Normally I would say your military is rather lacking as well, but seeing as how your only rival is a willing vassal, at this stage it's not as important. It might be tho once you meet more civs.
Actually what I would do is grab machinery, pump out macemen, wipe the Egyptians out and monopolize that continent, but that's just me. They're really not helping you much as a vassal, they don't have tech parity with you so you can't toss techs off each other, and all that land, production and commerce would better serve you under your direct control.