Grooming should be fine. Jackson only had three sets of shots total at 8 weeks, 12 weeks and 15/16 weeks. He got groomed at a little over 4 mo. old. Jackson never got the kennel cough vaccine but the groomer he goes to is really small and usually only one or two dogs at a time. Most groomers, however, will require it.
Also, Nutro is not a good food. Jackson ate it for a brief brief period of time and nothing ever happened (maybe a week he ate it, if that). But there are SO many dogs that have died from it and it's been recalled a few times. Google Nutro Consumer Affairs. I would recommend Merrick's, Nature's Variety, Wellness, etc. Check
Dog Food Analysis - Reviews of kibble 
Good luck!