Afternoon,
Not an expert, but do live in Louisiana and have seen tons of petrified wood. Most of your pieces are pretty common in the circles. The piece that appears to have been cut with a stone saw is large and could have some nice slabs cut from it that could probably be polished nicely. The other pieces show some agatization and quartzite which will probably make them sparkle vividly in sunlight.
The small piece with the red and gold coloring might be palm wood, but I cant tell for certain. Petrified palm wood is very beautiful and comes in a variety of colors. If you cut it across the grain you get a leopard appearance, cut with the grain you get long striations of color. It is used quite often in jewelry and also by indians in arrowheads as it chips well.
I have also seen celts and other tools made from palm wood, though they are rare. You can google an image search and see some possibilities in palm wood. Here are a couple of points made from the golden palmwood that came from NW Louisiana. The third photo has the palm wood point on the left and a chert one on the right for comparison. The first broken piece shows the grain cross cut, the points are cut with the grain, notice the difference in the pores (grain) of the wood.
Hope that helps a little.
Atlantis
