Lupita,
In all likelihood there's no right or wrong here, just what you want ... and it sounds like either choice is fine.
I don't know much about your background and story, but if having the private job with beach time helps you recuperate, there's much value in that.
One thing to think about, which no one here has mentioned, is things like retirement benefits. I don't know where you live, but I know our state has fabulous retirement benefits -- I think it's why so many people stick out teaching. Our teachers retire with hefty salaries and FULL MEDICAL BENEFITS, for which they pay nothing. There are many other retirement benefits as well. My sister retired from teaching and I think she gets at least $50,000 in pension every year, quite possibly more. (I don't ask too much!)
Also, your state may have an experience "ladder" like ours does: every year you teach counts a certain amount toward your pay level and your retirement benefits. Retirement is usually based on number of years served.
I would look very carefully into all the public school benefits and see what they are. I doubt a private school would match them. But, there are many reasons to work for a private school.
I also think it depends on how much you like to drive, and what kind of traffic you would be facing. I like to drive, so my long commute doesn't bother me. (Makes me a little tired.) But you may not like to drive, and that could be a big factor. If you're going to be full of anxiety each day on the road, then that is something to consider.
So, I don't think you can make a wrong decision. It's just deciding what you want most.
Aso, the kinds of kids you'd be teaching. Some private schools have great kids to teach, some don't. I had a friend who taught privileged kids in an expensive private school during the day, and unprivileged adults in night school. She much preferred working with the unspoiled adults; didn't like the spoiled rich kids.
You didn't mention whether you're teaching in a charter school or not. I have a friend who does, and he is overwhelmed with meetings and reports and bureacratic nonsense, and spends many extra hours a day working on that kind of stuff than normal. They pretty much own him. For instance, they required him to come in on Saturdays all spring (with extra pay) to teach a prep class for the standardized tests these charter schools must meet.
All this extra work is not the case in a public school, usually.
I wouldn't worry about breaking or not breaking your contract. I used to worry about that all the time, but in business, at least, it's not an issue. As long as you do it professionally, I don't see an issue. Most of us like to meet that kind of behaviorial standard, and it's nice when we can. But it's not a reason that should stop you from doing what you want.
Hope that helps!
LC