Both fiberglass and carbon fiber are completely safe once cured. If you are purchasing the materials from an online vendor, they will be fine by the time you receive them. Engineers specify fiberglass for marine applications (boat building, etc) because the material is immune to chemical attack, it is lightweight, and it is very strong. They will not off gas or leach toxins into your tank.
Paul B’s decision to coat steel and aluminum in resin was a great idea, because as with the resin used in carbon fiber and fiberglass, the resin he used to coat his equipment shields it from the corrosive effects of the reef environment. One thing I would clarify about what Paul B said about the vinyl tubing — it doesn’t stiffen because of off gassing. It actually stiffens due to exposure to light (UV light specifically). On a molecular level, polymers gain strength by cross linking, and UV light increases the cross linking of those polymers causing the vinyl tubing to become stiffer. You can see the same phenomenon when you leave pvc or plastic out in the sun for several months. Eventually they become so brittle that you can sometimes crush the plastic or PVC with your hand.
You will be fine using acrylic for almost any load imposed by aqua scraping with live rock. The only exceptions I could think of would be if you want to achieve an otherworldly effect by making a very large rock jut out quite a bit so that it almost looks like it defies gravity. The moment at the joining of two rocks might be large and could possibly require something stiffer than acrylic rods. Carbon fiber rods are extremely stiff and even the smaller diameters could handle a large moment load. Also, carbon fiber rods could come in handy if you want the diameter of the joint between two rocks to be very small. (That might actually look pretty surreal.) Then carbon fiber could give you that super high strength you need to pull off a tiny connection diameter. You would actually then be limited by only the rock’s strength and your ability to drill a small diameter hole deep enough into the rock.