When Clark Kent first meets holographic Jor-El, Jor-El calls him Kal. Thrown off, Clark asks, “Kal? That’s my name?” Clark is confused because everywhere in the script he is listed as either Clark Kent or Superman.
At the end of Justice League, we see Clark Kent walking down the street, a subtle nod to the fact that he came back to life too. His “rebirth” scene was cut from the film because watching them put full grown Clark back into his mother was a tad less believable than the mother box jump-starting Superman in the space placenta/embryonic fluid.
(and WAY more gruesome!)