Eggcessive got it right. Those are stick tight fleas and permethrin or any other chemical or dust has no effect on them as far as removing them (edited,) neither does ivermectin. You have to suffocate them much like scaly leg mites, then pluck them off one by one with tweezers, almost like ticks with the heads buried in the skin. The only difference is that their heads dont break off like it does sometimes with a tick.
Treating the soil with chemicals really doesnt help because of the rain, not even malathion, liquid sevin nor liquid permethrin. The only way is for them to go away is for it to stop raining and dry up and/or cooler temps. Or if it were dry enough, you could burn an exclusion zone outside the pen perimeter 6' out from the base of the pen, if your birds are penned all the time. Speaking of burning; burn all bedding. Spray the inside of the coop with a bleachwater mixture to include roosts and nest boxes. Let it dry and repeat one more time, it should help control them. It wont work on soil.
As far as the wattle goes, I'd open it up and get that infection out of there. Then flush it with betadine and pack it with neosporin. Just to be safe, open his mouth and see if there are any lesions present.
I forgot to add that stick tight fleas dont transmit diseases unlike other types of fleas.