Regarding color correction, always correct luminance first. Then try color correction. Vector scopes are great for monitoring color. Waveform monitors are great for measuring luminance levels.
I don’t know Movavi, but there are great tools out there for free. DaVinci Resolve is the 800-pound gorilla in this area. It’s a free download from BlackMagic Design. It’s what many film restorers use to balance color, restore color, etc. It’s an industry leader, and it’s free. (They have a $300 version that adds tools for networked users, but the free version is also incredibly full featured.)
I use Apple’s Final Cut Pro X, because I have an iMac Pro. FCPX has good color tools, too, but Resolve is much more sophisticated.
To stabilize anything that was still unsteady coming off the scanner, I run it through Apple’s Motion app.
To capture sound, I use the free Mac version of AEO Light.
After using all these tools, I now know why high-end film scanners cost a fortune. They do a lot of the jobs that each of these apps does independently. You save a lot of time having one machine do most of the transfer work.
Turning a crappy piece of film into an enjoyable piece of art takes a lot of time and patience. That much I’ve learned. Learning and replicating the work flow for doing it reliably every time is still a work in progress.