I didnt acused you public of cheating, ive privately emailed you, so that this wont be a big deal.
I know about the archer trait, i use it myself a lot, but as you also know 1 archer can only fire once against the attacker, if more attackers other units wont be affected by it.
As for cheating, there are many trainers here in civ foruns, one or the most popular is power bar.
Power bar is a memory trainer, what this means? It can make a particular unit, chossen by you, to heal itself to infinite, hell, you can conquer the whole world in a turn with a warrior using this program, and it stays a special unit till you stop it from beiing one, meaning it will still be special in other players turns. There are other programs who can do similar things.
I have no problem with you Adyyc, i just have problems with an archer that its health bar keeps lowering and in the second later pumping up again and again, so ill trust its a bug.
I dont have much PBEM experience so this things are possible of happening?? Probably so. My apologies if i wrongly accused you, i just want to have fun to.