1)In turn #1 if Coalition win a battle in Austria, the Austrian Fervor move up by one and France fervor don't move correct? If France wins the battle then Austrian Fervor move down by 1?
2)What happen to the Austrian Coalition if Austria lose the battle? In case I have to put the marker of Surrender at the beginning of the next turn do I still earn money from Austria?
If the coalition wins a battle in Austria, you reduce Austria's fervour by one. Vice versa, if the coalition lose that battle, you have to raise Austria's fervour by one.
Austria/Germany will surrender, if the French control these countries after all battles took place. You do not get any income from them anymore. They have left the coalition!
3) Napoleon Abdicate marker how does it move forward or backward? Because at the end of turn 1 I had a battle in Spain, Germany, Austria & Italy, I lost the battle in both Austria & Germany, so I am no longer controlling 3 nations
In a typical game it doesn't move that much in the early turns. In the mid game it will start moving forward every turn by one depending on your game play. After the Russian War happened, it will raise faster...but that's part of the fun!