I wouldn't be worried about the white coronet bands - like barefoot says, it's just waterlogging. I would be a bit concerned about those feet generally tho.
The 'growth rings' on his front feet could be a sign of ongoing laminitis episodes, of which runny poo from lush grass may be another symptom. Not necessarily anything to worry about, but something that you might want to learn more about & keep a close eye on.
The clenches on the shoes are loose and could cause injury and cause the shoe to be ripped off. The feet are stretched with some separation. The heels are long but underslung(crushed forward instead of upright) and the heels of the shoes seem to be further forward still. The backs are well due for a trim.
I think the best thing is to educate yourself on the mechanics and other factors of sound hooves, so you can decide for yourself what to do, who to use. While there are many farriers out there who know what they're on about & do a good job, shod or bare, there are many out there who don't, so you need to know what to look for too. Pete Ramey hoof care heals founder in horse’s navicular disease farrier
& Barefoot for Soundness
are 2 great places to start.