It may be that the scene from the anime is in the future, because light dies on Ap, and Misa died on Febru (Valentines Day) according to Chapter 110 "How To Read" profiles of the characters.
What was the relationship between light and Misa?
Light pretty much had to “put-out” in order to get Misa to cooperate effectively. Also, during the second arc after the L death time-skip, it is extremely obvious Light and Misa’s relationship became sexual in nature.
Is it true that Light Yagami never loved Misa?
No, Light Yagami never loved Misa. The creator of Death Note said in a interview that Light could never love a woman. Interpret it as you want, but it says a lot about the nature of their relationship.
How did Misa Amane become the second Kira?
A model named Misa Amane became the second Kira when she found a Death Note of her own. Already a Kira groupie herself, Misa used the Death Note to carry out Kira's work until meeting Light, who tells her his true identity. Misa falls in love with Light instantly and Light is quick to take advantage of her feelings.
Why did light touch Misa's Death Note?
It was an advantage for Light, he did not miss this opportunity. Later, after catching the fake Kira Kyosuke Higuchi and getting the Death Note, Light touched the Note and regained all of his memories about the events what were related to Note. After this, Misa went to the place that Light put Misa’s, actually Jelas’s Note.