For the first question regarding redshift, the correct answer is: d a distant luminous object travels rapidly AWAY from an observer. Redshift occurs when an object emitting light is moving away from the observer, causing the wavelength of the light to stretch, shifting it toward the red end of the spectrum.
For the second question about the beginning of the Universe and energy release due to atomic interactions, the correct answer is: d Nuclear Fusion. Nuclear fusion is the process where two light atomic nuclei combine to form a heavier nucleus, releasing energy in the process. This is similar to the processes that powered the early Universe.