Yes we do! We already know the music and choreographer for his new SP (Cody Fry's 'Underground', choreo by Jeff Buttle), and he said he thinks he'll be ready to debut it at DOI
As for his FS, I think it's likely he already chose the music but it hasn't been choreographed yet. We already know his new FS will be choreographed by Misha Ge again and they haven't been together since Worlds
Now, after FaOI and before DOI, Kazuki has a break of about 3 weeks and half - his biggest stretch of time off in the whole of the off-season


So, I think it's likely he will go to California soon to be with Misha and choreograph his new FS. Given the timeline, I think debuting the new FS at DOI will be too soon, so maybe we will see his new FS at The Ice in late July.
The biggest mystery for me is the EX. At this point, having an iconic EX is basically part of Kazuki's 'brand' and personally something that I look forwarding to seeing as much as a new SP and FS. He said before he was looking for music for a new EX but it's clear he hasn't had a new one choreographed yet. As 'Tsumugi' by DAPUMP has been such a big success at FaOI, will he keep it as his EX for the season? Will that be allowed, or will this fall into FaOI copyright? Will he want to do that? So many questions
Meanwhile, here's a cute Kazuki and Sota message to fans on the last day of FaOI: