Open The Door! Part 2 (Tactics Puzzle 20)

This series is going about puzzles with the theme attack on the castled king. In part 1 you saw also a few interesting attacks and sacs.

 Let’s start with an important attack that is played often in practice.

Puzzle 1, white to move and checkmate in 8:

This is a less often played attack in practice, but also useful to know.

 Puzzle 2, white to move, how to win?