Why is my 11 week old kitten peeing on the bed randomly?

Hey, he's a kitten! You can't expect miracles yet! I have only skimmed your story, but my cat had the flu and it is GOOD IDEA to take him to the vet for a check up. He may have an infection of sorts or something. I wouldn't just leave it alone. Try schedule a vet appointment or if you can't, call them. Since your kitten is so small and young, the flu can be VERY SERIOUS! I have a word of advice. I would recommend not moving him so much around the house, do that when he is a little bit olderand he may be so confused that he may not know where to go. I hope this helped because I am a huge animal lover!