Is the speed of light constant?
Speed of light in vacuum is constant, and its value is close to $3 \times 10^8\ \rm m\ s^{−1}$. Speed of light will also be constant (but not necessarily $3 \times 10^8\ \rm m\ s^{−1} $) in any medium with uniform refractive index throughout space.
Can it be reduced or made dormant altogether?
Speed of light will be lower (but never higher) in a medium other than vacuum depending on the refractive index of the medium. This is due to disturbances caused by charges within atoms of the medium. Here's a good visual explanation given by 3Blue1Brown in youtube: video
Do different wavelengths travel at different speeds?
Within a given medium, speed of light is constant, but it's wavelength may vary depending on the amount of energy. When light moves from a medium of low refractive index to a medium of high refractive index, both speed & wavelength reduces by a factor equal to the relative refractive index between these media.
If light is able to bend, might it be bent in such a way or to such an
extent that it is effectively slowed in relationship with the
transmission point to the reflection/reception point?
No. But if your objective is to make light slower (than $3 \times 10^8\ \rm m\ s^{−1} $), choosing an appropriate medium will be the only right answer.
NB: Cherenkov radiation is something you might be interested in reading