There is a lot of confusion about quantum physics here
Afaik man-caused quantum tunneling is at its infancy, with only particles moved/tunnelled.
You are mixing different effects here. Quantum tunneling and quantum teleportation are very different things.
Quantum tunneling: This effect describes when an object moves "through" a barrier it cannot go over. This only works when the barrier is very thin and the object has a small probability to be on the other side. In this case, nothing gets destroyed, it is the same particle with the same information which appears on the other side. You could imagine it as standing on one side of a wall and then suddenly appearing on the other side of the wall. The problem is that for any kind of macroscopic object going through a macroscopic barrier (anything much thicker than an atom) the probability is so small it is never going to happen.
Quantum teleportation: This describes the teleportation of quantum information. No particles get moved (at least not in a non-classical way) and you need to have an object at the destination ready to receive the information. In this case you do need to destroy the quantum information at the origin so that you can know what you need to do at the destination to recreate the original state.
Also remember that information cannot be created or destroyed.
Information creation is not a problem at all. Entropy ensures that information is created all the time. Technically, it is true that information cannot be destroyed, because that would violate thermodynamics. In practice, you can spend energy to move information somewhere else, so locally you can destroy information.
You cannot move information without destroying it in its original location..
That depends whether you are talking about classical information or quantum information. Classical information can be copied and moved without any problems (after all, you can copy files on your hard drive and move the copy around). Quantum information cannot be copied (the famous no-cloning theorem), so in this case it cannot stay at its original information. If you want to apply this to
consciousness, you need to decide how "quantum" consciousness is. If you could create a classical copy of the consciousness, you could do all sort of things with it. If there is an integral quantum part, you could only move it, not copy it. I have no idea whether it is one or the other.