Super man questions

Currently watching Superman returns, the only Superman movie I have ever seen.😳 I've got the basics kriptonite is bad he saves people but can you answer these for me.
  1. 1.
    He recharges by only the yellow sun, is their another color sun in the super hero universe?
  2. 2.
    Does he have a child?
  3. 3.
    Why is lex Luther bald? Is it a choice or was it some experiment gone wrong?
  4. 4.
    How did he get to earth?