If you have more troops or better ratio and you're unconquered you will conquer the player you're attacking if he is not conquered of course and vice versa.
If you'd like someone to help you play and understand the game more you can fill an application in the AANC thread, it will help you pass the learning curve more easily.
not true, if both of you send the attacks at the same ETA, the attack that has less rounds will "win". Which means if my attack doesn't go through any defense, but his attack took 2 rounds to finish, which means my attack "won" and I conquered him.
In case both attacks have the same amount of round, it will be a battle of luck