Will Kirito be with Alice?

Yes Alice does in fact love Kirito. At the end of this cour in the anime, Kirito will be in a coma for 5 months and Alice will take care of him.

Does Alice fall in love with Eugeo?

While it is obvious Eugeo is in love with Alice and has been since they've been small, Reki Kawahara never explicitly explained why Eugeo loves Alice so muchーand this was left ambiguous in the light novel, as well as anime.

Who is stronger Asuna or Alice?

Despite Alice having the upper hand in strength and armor, Asuna has the upper hand when it comes to speed and sword skills. Even without using a Divine Object, Asuna would have more sword skills, as well as better swordplay overall, when it comes to battling Alice.

Did Kirito and Asuna get married in real life?

The relationship between them quickly began to change, and as time passed, the two fell in love and they soon married in-game . Asuna and Kirito enjoying their life. Once they get married, Asuna and Kirito quickly take a leave of absence of the Knights of the Blood Oath and decide to honeymoon on the 22nd floor, buying a cabin together.

Does Kirito remember Alice and Eugeo?

Just an assumption, Kirito do remember Alice since he will take care of her robotic body in the future (hinted in Kawahara's interview). Not sure about Eugeo, but most likely he is also remembered. Well Alice and ghost Eugeo are here in Prologue III. And Eugeo came from Kirito's Incarnation, so yeah, he should remember