There are such things as blue potatoes, but they are not naturally occurring. A strain called Adirondack blue was genetically engineered at Cornell University in 2003.
Moral for Blue Tater: Cricket learned not to believe everything he hears.
Moral for Cricket Versus: Cricket learned his enemy may have been around him the whole time.
While Alice is thinking of potential surnames Cricket should change his to if he fails the rite of passage, she suggests "Hawking" and "Einstein". These are references to the deceased physicists Stephen Hawking and Albert Einstein. Coincidentally, Hawking died on Einstein's birthday, which was three months and five days before the episode aired.