Time is a function of relativity, you can only have a flow of time when two or more objects exist relative to each other. Heat Death is an orientation of the Universes materials in which none of the materials are relative to each other. Entropy isn't actually anything to worry about. People simply don't like it because they want information that can exist forever, but that can never be a thing because "information" is simply things in a formation, and everything in the Universe is constantly shifting and flowing into each other.

Furthermore, if you explore far enough out into space you'll eventually find, contrary to expectations, that there have been multiple big bangs throughout space and time, the one that created the "known Universe" was not unique. The Universe is a place of patterns and repetitions. Everything that happens once in one place can happen again in another place.