Does Kaido possess any other power other than just being physically strong?
All these information that you've posted are detailed and relevant to what had been released in the manga and also what has been shown in the anime.
Currently the manga is in an arc which is focusing on something else. If you would like to know, you can read from the manga.

SPOILERS


   Currently due to the Sanji situation, in the manga, it will focus on the development of Big Mom's character and the adventures to be on whole cake island. As we know from the impel down arc and marineford arc when the crew splits up the story will follow Luffy as he is the protagonist. Zoro and the others have split to Wano and are likely to engage Kaido first. So just stay tuned and your question should be answered sooner than you know it.