Enough figgy pudding

Now I’ve taken the delightful Christmas trimmings down from the site, I thought I should let Richard put you out of your misery (or just confirm what you had already cleverly worked out for yourselves?).

Christmas Puzzle 1

White to play and win.

It does appear impossible to prevent the pawn on a3 advancing

 

Christmas Puzzle 2

White to play and win.

 

Christmas Puzzle 3

White to play and draw.

 

Christmas Puzzle 4

White to play and draw.