Grammas can be weird. All of mine have been seriously nippy with tankmates, but they're also really skittish. As far as HIM getting whooped on, I wouldn't worry too much just yet. You just added him and the wrasse is probably just staking out battle lines with his new cellmate.
The picture doesn't show the white spots but I THINK I remember my last gramma having white spots here and there without it being a problem. However it COULD be ich either from the fish store, or brought on by stress from the wrasse fighting him.
I'd say for now just try and get him to eat. If the aggression doesn't slow down or if the white spreads over the rest of a week, you've got a bigger issue. In either of those cases, quarantine would be a good idea if you want to keep him, or bring him back to the store.
then again good luck catching a gramma that isn't sick.

edit: your PH is low, that's not going to help acclimate him