Hi Helder, first off, welcome to EBN!!
Sounds like you are taking really great care of your bully in the nutritional department.
I myself am not experienced with raw feeding but I'm going to alert @savemejeebus who has experience with this type of diet.
As far as the occasional diarrhea, you can try pure pumpkin...about a tablespoonful into his food to help with that. The itchy eyes after eating is a curious thing and certainly does sound like an allergy.
I know others will come along to help you further with this issue! Stay tuned.