First off...Fuck no. Stay away.
Secondly, Pleasure Island is a shit hole. With morons taking over most places on most days. It was nice decades ago. But years and years of corrupt city officials have raped that city dry. Eat the restaurants up top on the north end but DO NOT go south of SH73. If you do, DO NOT go south of Gulfway Dr. On top of that mind your P's and Q's pretty much anywhere because the dumbass city officials have spent the last decade closing the projects down south and shipping them up north positively ruining all of the shopping districts they did have. None of the apartment complexes, save for a couple are safe or even being near them if I am being honest. It isn't uncommon for gunfights to start up at a moments notice. Sometimes nothing happens but shots fired and sometimes stuff or people get hit.
As the fella above mentioned if you are dead set on taking a break in our asshole of Texas area then do it in Port Neches at Port Neches Park. I wouldn't even suggest Dornbos Park in Nederland anymore. Places in Beaumont are somewhat ok. The childrens museum is usually fun for kids, not sure how old your kids are though. But Beaumont crime isn't any better than Port Arthur crime.
Just avoid Port Arthur as much as you can. Probably Beaumont too. In fact, I'd just pass right over this entire area.