Marshal,
I'm not quite sure what you find strange in these screen shots.
I'll try to make few guesses and provide some possible reasons
But first, I'd like to try to stimulate your imagination a bit.
This game is so much different from all the other games out there so it needs a whole new mindset. Once you "get it", it's enlightening.
What you have to keep in mind is that each of those companies really are usually 100-150 ppl. (some smaller, but some, like heavy arty, as big as 400-500 ppl.), frequently with AFVs, non-AFVs, guns & c. They are not just icons, but they occupy space, approximately abstracted by their footprints.
So take for example the 1st screenshot: your 1.2 mech inf. coy (with a footprint we don't see) is one such company with two enemy companies (let's estimate, say, 150-200 ppl.), one of which quite a fearful and deadly flak, just some 200-300 meters further SW! (again we don't see their footprints here, so if you check, you'll probably find their's and 1.2's footprints are even closer than just their respective icons).
They are firing and engaging each other, it's quite a scrum. It would be quite undestandable that 1.2 is halted. Being fired at is probably one of the worst human experiences possible. Likely, also the rest of the BN is engaged or under fire, maybe also bombarded. Maybe the're all fatigued, and there's mud, cold, some forests, ...
With such close encounters, things simply cannot play out as snappy as you'd like.
Second screenshot: again, not sure what you find odd, but again: few companies are engaged in the open terrain, during a bright day, they are armoured, but in the middle of the mud. In such cases, if you were a foot soldier in the, say, 3.1 pion coy, you'd duck down a lot, and wouldn't just rush further SE or whatever destination your HQ is asking you to go.
3rd screenshot: I assume the "problem" here it the attack not going as flawlessly as you'd like. But just look how scattered the whole BQ is: two coys delayed (being ambushed by an AT coy from the woods?) to the east, S.1 engaged to the west, etc.
5th screenshot: can't see what's up in this one, really.
6th screenshot: it's 5th day, they may all be exhausted. They seem trying to get to the FUP, but are engaged (at least I see that for the 3.1 pion coy).
7th screenshot: it's day 6, so let's assume some fatigue. You're asking SNDG regt. to go and defend, "fastest" (really tiring!) and "no rest" (who knows for how long!), and it's 2 o'clock a.m.!
And they're in the middle of a nasty scrum receiving fire from the right flank by some 500 enemy troops. I'll make an educated guess: many of them are halted, engaged, being under fire recently, quite fatigued, low on morale and training, and the commander is not exactly a genius
It may seem to you just a bunch of chits on a map, but what is going on really are some 1500 your soldiers flanked by some 500-600 enemy soldiers is an approximately 1000x1000m area, with some woods, village houses, ice and darkness.
You don't know exactly where each solider is, and that is how it feels to be operational commander. So it's not that something is missing in this game: you can imagine all these things as you'd have to do in the real world, and that gives you reasons why things ARE so much more inert, lenghty, and uncertain when troops are engaged and entangled.
Hence, you really have to assume a different attitude. An attitude that takes into account that sorts of "uncertainty principle": don't be too much worried about the exact position of the icons, for the soldiers down there are doing a lot of reasonable things: taking reasonable facing, firing reasonable amount of ammo at what seems to be most important treats, and so on.
There are no hexes, so you don't have to have the kind of anxiety to get exactly there. The space and time are continuous here, and given their underlying fidelity, you have to take a different attitude and see things on different scale (for example, imagine: if a coy from a moving Bn enter into a close contact with an enemy company, with some fire exchange and all the rest, some small scale probing before some replanning, some 30-60 minutes of halt at least sounds so realistic to me: indeed, what would be unrealistic is that the whole company of 150 ppl. just turn around and walk away in 5 minutes, having replanned the whole thing and given the appropriate orders to every soldier and vehicle with bullets flying by their ears).
Enjoy.