Hi Magiroux,
If you get off Exit 1 in New Hampshire (Exit 2 would be the Canobie Exit), you would get to a few breakfast places. Coming off the exit (don't go up the ramp to the mall) go straight at the lights - Bickford's will be on your left hand side. Or if you turn right at the lights, go down Rte 28. At your first set of lights, take a right for Denny's. At your second set of lights, take a left and Friendlys will be there. I would suggest getting there early as it seems breakfast places on Sunday mornings are packed!!!!
There is also another place which serves good food and is not too expensive (but is usually crowded). You take Exit 2 (Canobie Lake Exit) and go through 3 sets of lights. It is called Sammie J's and is between Brooks Drug Store and the Fire Station. It is located in an ice cream parlor but serves breakfast from 5 am to noon. The parking can be difficult but on Sundays, I think people also park across the street in that lot.
There is also a food place (not breakfast) right across from Canobie Lake Park. It is called the Clam Box - it's a tiny seasonal place with outside seating but has hamburgs, hot dogs, chicken, seafood, and ice cream.
Hope that helps.
Even though it says no picnicing - in the past, my sister brought a cooler with sandwiches and drinks. In the middle of the day, we just went to the car and ate it there.
Cindy