It's a not-so-hard mate in 3.
Nice one :)
This one is a bit harder Mate in 5.
Last but not least a mate in 4.
I like that last one, I got it after a little thought, very nice :)!
If dxe5 it's still mate in 4>>>> after 2.Be4+ (not e4+ as you have in your analisis) ke6 forced 3. gxf8=N+ (underpromoting to a knite) Kd6 is forced 4. Nxf7# is mate!
On the mate in 5, the 2nd puzzle, its mate in 4 if you do Bg7+ with the queen and the knight and the bishop all saccing themselves =) take the bishop with the queen at the end.
check again it's still mate in 5. If Bb2+ then black can play Qf3 blocking and delaying the mate 1 more move.
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