2:09 PM PT -- Kansas City cops say 5 people in total were arrested at the parade ... including 2 in that wild police chase early Wednesday morning.
Cops say 2 of the other 3 arrests included a man riding a horse ... and a "belligerent guy who fell out of a tree."
12:31 PM PT -- Kelce just gave addressed the fans with a speech that would make the Macho Man Randy Savage blush ... going all-out in an epic rant at the Chiefs' rally following the parade.
Kelce -- who was spotted downing beer after beer throughout the festivities -- kept it together and PG-13 (for the most part) ... only letting a few f-bombs fly during the speech.
The fans loved every second of it ... and the whole thing was reminiscent of Travis' bro, Jason, who went OFF when the Eagles won the Super Bowl a few years back. Remember "hungry dogs run faster?"
Travis ended his speech with one Beastie Boys-approved message -- "YOU GOTTA FIGHT FOR YOUR RIGHT TO PARTY!!!!"
11:33 AM PT -- Aaaaaaaaand, there goes Kelce's super badass Louis V coat ... the thing just got destroyed when Patrick Mahomes made a beer waterfall mid-parade ... and Trav tried to catch it all in his mouth.