Curiam dieNichtI just finished my first game. I have to say that I enjoyed the strategy part of the game. The mechanics seem to leave a lot to be desired. It says if I speed it up that it will cut my time in half but it never did that once. Most of the time not even close. I am not sure what the formula is but it should be easy to take the amount of time it takes and divide by 2. This gives half.
If by "speed up" you mean forced march, then you should divide by 1.5 and not 2.
It was never 2 ever since I'm playing this game.
Game says if you speed up, you will move 50% faster. That is not the same as getting to your destination in 50% of the time (which would require moving 100% faster).
Curiam dieNichtI also found that things are not updating correctly and I saw one result from a battle but then a little while later a different result will show up. it was weird I saw that at least four times where I lost armies almost to one troop left and then boom they are back to almost full. it usually happened when I arrived at a location to attack troops and the troops had a question mark and the question mark never went away. there were times I lost all my troops to a province that the question mark never went away so I never saw how many troops I was attacking. I am not sure if it is supposed to do that. I figured once I engage it would show this seemed reasonable.
Any fortress that is built up above level 1 (1.5+) will hide the troops in it. There could be anything from just 1 infantry or most of enemy forces. That's why reconnaisance is important.
And it also should be fresh one. If, for example, spy finds out there was just 1 infantry left hidden in fort then that might not be the case anymore many hours later, as enemy may have reinforced. But your info will show the old value for the rest of game day, because it's the best info you've got at that time other than a questionmark.
But I guess smashing in and seeing if you die or not is a form of reconnaisance in itself. 
Curiam dieNichtI also notice that the stats are not updating properly or quickly. I am not sure how quick they are supposed to update but when my game ended it gave me one set up stats while the stats in the awards area, the place that shows my medals, never updated with the same stats.
That is a known issue. This game has over a decade of history and was not created with such a large userbase in mind so stats have hard time updating due to sheer quantity.
Don't worry. Stats will update, but will take a while.
Curiam dieNichtHere is another question I have. I won 1st place in the game but I was in a coalition and the coalition took first place. I did get that reward. My individual score was the highest and well over the 1000 for solo win. Are we not able to win in both categories?
No, you can't win in both categories. You can't get the solo win in coalition, simply because being in coalition nullifies your status as being solo. Simply having more points in a coalition does not suddenly make you solo.
You can, hovewer leave the coalition and make you such. In that case no coalition win.
Curiam dieNichtThere were numerous other game mechanic issues as well. I did not log any of them but the ones I mentioned were frequent enough to bring up individually.
I found the game interesting enough after playing but the mechanics seem to need a lot of work. I spent some money, which is fine, but I do not like spending money when stated mechanics do not work as stated.
Most of issues you claimed come from you not being familiar with mechanics. Understandable for a first game.
Apart from statistics updates, if it shows any issues, then it's with Game Manual(<-that's a link) being either ignored or obscure.
It's also on top bar of this forum between "Dashboard" and "Members"