interesting. well done!
Puzzle #3

nice i was going to say why not 2. Nd5 to get the queen missing how the rook was going to play that and still keep our queen protected way better than my idea. Really liked it good puzzle
how about this?
1 Qxa7+, QxQ
2 Rxa7+, Kb8
3 Bxc7+, Kc8
4 Ra8#
If I haven't missed anything, it is mate in 4.

what about
1.Nxc7 Kb8
2.Nd5+ Ka8(or c8)
3.Nxb6+ Kd8(or pawn capture)
4.Queen moves
If they block with pawn or Knight you take and if i'm not wrong you win a queen.
Loopholes
1. don't do 2. Bd7
2. don't do 3. Qa7+
3. I didn't see this, but mississauga99 (thanks) brought it to my attention. 1. Qxa7+ Qxa7 2. Rxa7 Kb8 3. Bxc7+ Kc8 4. Ra8#