Hi, it looks as though you haven't done a lick of research.
I'm not sure how bias would really affect the answers to most of your questions, since they are factual in nature...but I am unbiased in the sense that I don't live in Greenville (yet), so here are a few answers:
Is Greenville too far from New England?
Too far for what? If you plan to visit New England a lot, then it probably is, although there is an airport right nearby that could make it easier. If you are driving, Greenville is nearly 1000 miles from Boston, as a gauge.
Annual weather facts about Greenville are pretty easy to find online, but suffice to say that it's going to be a lot warmer most of the time than Boston, especially in the winter. Cold and harsh winters in Greenville? It is in South Carolina after all.
Here's a link:
weather
As far as shopping is concerned, on a recent visit, I noticed that shopping options in the greater Greenville area abound, with every possible chain available. From food to home improvement, and everything else in between, you shouldn't have a problem finding what you need just about anywhere you choose to live.
Schools are purported to be pretty good in general...but that's mainly elementary and high schools. There are a number of colleges and universities in the area, including U of SC upstate. You'll have to investigate costs yourself if your kids decide a local school is best for them...but that's a whole different process.
There seem to be a decent number of fairly new medical facilities in the area. I can't tell you much about them, but those who live in Greenville will be able better answer that question.
The job market will likely be tougher than that in MA, espcially if you are near Boston, but there are a good number of international corporations nearby. It will depend on the type of work you are looking for, obviously.
I don't think Greenville is really a touristy area, and I would say that the job market is certainly not centered around the tourism industry. You could much more accurately say that about Myrtle Beach, however, which is mostly tourism-sustained.
Cost of living should be better than that of MA in general. Here's a link for comparing you city:
City Comparisons
Cost of land? Check some MLS sites for a rough idea.
That should get you started, I hope. Good luck.