It's a little hard to follow the question.
The short answer is: No it doesn't move faster than light.
First off from the perspective of the outside observer, the particle doesn't reach the Schwartzchild radius, due to gravitational time dilation. From the viewpoint of the distant observer (the best kind to be when black holes are involved) the particle's clock slows to a stop as it nears the event horizon.
Your velocity is a relative and a local property, if you want to talk about the velocity you need to say what it is relative, and when black holes are involved you need to be careful about which metric you are measuring the velocity in. From the point of view of the infalling particle, it enters and crosses the event horizon. It may then be falling faster than the speed of light relative to people on the outside, but it is behind the event horizon, and can not return to them. It is not moving faster than light relative to any point which it can return to. So this doesn't break causality, nor does it allow for high-speed transport.
All that is certain is that in a short time (as the particle sees it) it will reach a singularity and then time and space will cease to exist for it, and all you are left with is mass.
Hadrons might become some kind of quark gluon plasma on their way in, but this doesn't make it lose mass, nor does it have any effect on the whether it moves faster or slower than light.