Not a sifu but I kinda feel that 5k is not a great distance and probably could be done with converse.  having said that looking at the reviews of those shoes you mentioned, they appear to be cushioned shoes which are probably great for jogging which would be fine for a comfortable daily runner.  They don't look suitable for intervals or reps if you're planning to do any higher intensity workouts.  Just my opinion based on what the shoes are designed for and i have no personal experience in either of those 2 brands.