Hi there, just checking in because I'm also a lifer to the seacoast of NH
I really don't have a ton of advice on the whole job issue, but I do currently live in Exeter, grew up in Hampton, so I know the seacoast/95 area like the back of my hand. Housing costs are nuts, but if you're from Burlington, it won't be too much of a shock to you. I'm not sure how large your family is, or how big of a home you'd be interested in...but you mentioned Hampton Falls in one of your earlier posts, and a nice 3/4-bedroom home in Hampton Falls would be close to a half million (on the lower end). Hampton, Exeter and Stratham aren't far behind either.
Kittery is a great town, my DH actually grew up in Eliot, the next town over. He would LOVE to move back there since we have a little one on the way, swears it's the best place for kids to grow up. Someone already mentioned Berwick Academy, which is K-12, I believe, and located in South Berwick, maybe 15 mins from Kittery.
The public schools in the Hampton/Exeter area are really good, I can tell you that first hand! Of course, there's Phillips, but it looks that your son (6?) is a bit young to be thinking of high school yet!
Anyway, I've rambled, but I LOVE the seacoast area. Can't imagine moving away...if you have any questions specific to the area, I'd be happy to answer or research for you!! Good luck with your decision