That is an awesome start to an RCW force.
As for eyes or not, eyes are one of those dividing lines. A lot of people hate 'em, a lot of people think they're absolutely necessary. Personally, I usually do eyes only on character figures. A few of my RCW soldiers have eyes, most of the officers will once finished, but I'm not going to drive myself nuts doing eyes on every single damn one of them.
I'd misplaced the link to that collection of RCW flags, so thank you for reposting it! My Reds currently have a plain red flag, which is generic and plausible but boring. A slogan of some sort will eventually be going on it, I promise. Judging by the sample at that flag website, you could put just about any Bolshevik slogan on a flag and somebody, somewhere would have done so in reality!
Similarly, my Whites just have a generic national Russian tricolour right now. I do have a second standard bearer for each force that will wave something less generic, as well. I might even get organized and see about doing a couple of interchangeable banners for them.