All the factions in EB will be in EBII (with the exception of the Casse who became the Pritanoi) so you don't need to list them. Apart from that quite a few of those suggestions don't fit with our time frame (272BC-14AD) or map, i.e. Mauryans, Xiongnu, Kushans, Picts and Gothones (probably around in our time frame but way too little is known about them and they would not be organised enough to merit being a faction)

Welcome to the forums btw!