What happened to the Death Note movie version? I didn’t understand it after editing it

The thing is like this:

Misa used the notebook of Death God Liu Ke, which was switched by L and others;

L wrote in this notebook of Liu Ke He wrote down his own name to ensure that he could continue to live for 23 days;

The father of Yagami Yue also took away fake notes;

The god of death, Rem, wrote in his notebook The names of WATARI and L were written on it, but because L had already set that he would die after the 23rd, it would not work if Death wrote his name;

After L saw WATARI die, He immediately pretended to be dead and showed it to Yagami Yue;

L said that WATARI's death was his last mistake. He did not expect that the God of Death would not only write his name, but also WATARI's name;

After Rem died, his notebook was also destroyed. What Yagami Yue finally got from MISA was Liu Ke’s notebook (fake), with his father’s name written on it.