The stuff from the ocean might raise your pH a little, if they are indeed old coral skeletons. Won't be a drastic spike, but over time. Just keep an eye on it.
Rubbermaid containers are your friend. Save as much water/gravel as you can and pack the fish seperatly. Move the tank empty, or as close to empty as you can possible get it. Carrying around a glass box with water isn't the best of plans.