The Nostalgia Badge and Virtual Kid is available in Death Wish of Seal the Deal DLC.
Virtual Kid can be found in Beat the Heat Death Wish (the very first Death Wish challenge). Nostalgia Badge can be found in Zero Jumps Death Wish (Battle of the Birds area).
Note: Death Wish is exceptionally, brutally difficult. Please take this into account when considering this DLC. If you're having trouble, consider turning on peace and tranquility.