Did Achilles Odysseus Hector Paris Theseus and Jason really exist?

No one knows if Achilles or hector existed some say they were real but others don't the archeological evidence says there was a Troy and a huge war so if that existed why not the famous warriors they obviously weren't as strong as homer depicted thembut who knows Odysseus did exist he was a king but the Trojan horse is false he was just a general I guess you could say the reason they have the Trojan horse idea I guess is because posidon was the god of seas and father of horses and in some cases earth quakes so in the translation it might of gotten mixed up as for the other three I don't know I doubt Jason existed I don't know why I just have a feeling he doesn't ha ha