I would agree with several of the above posts, definitely use the heavy peltasts in melee as flanking infantry. Also, it seems your army contained no cavalry? I know its expensive and mostly crap in Southern Greece, but even just one or two untis of the skirmisher guys is kinda essential in any "proper" army. Because only they move fast enough to easily (and repeatedly) flank enemy units. They can get large numbers of troops to any part of the battlefield to help holding the line. The actual javelins are rather pointless - and they certainly cant stand long in melee - but you will find the fact that you consequently dont commit them early, which makes sure they are always fresh when everyone else is exhausted. Combined with the heavy peltasts or a unit of proper hoplites they can usually handle a flank in the early game.

IMO levy hoplites if taken to battle should only ever be used as either a reserve (fresh vs exhausted as above) or put right in the centre (probably next to your general) in the main battle line and be used as cannon fodder to soak up charges and missile fire once you run out of akontistai. Never on the flanks.

On a side note, when I played as KH, the Maks took Athens and held it for quite a few years, but as I had Corinth (fortress) and Crete (trade/archers). I was able to rebuild and eventually utterly destroy them - and then went on to conquer most of the rest of the world as well...