Nice puzzles. Thank you for sharing them. :)
A Collection of Fine Puzzles, ranging in difficulty

Blacks forced to take his queen and a pawn off for a knight and a rook. It is by no means won straight away, but it is winning... but I hate playing both sides of positions like those because I cant find the win as white, and I get smashed as black =P

Alright time for another one I make myself, took me about 4 mins :D And its suprisingly not an end game one! (those take much less time, plug into engine and go)
Well its not really a combination (as a hint), as those are good puzzles, but its more of a positional or plan one. Find the "best" move:

"A Nifty Tactic"
Just a ton of puzzles put together, enjoy w/e.
What if black takes the rook?And what is the result?

Well on the first move, if black takes the rook, the bishop checks and forks the pawn, so its draw (which is what white is aiming for).
On the last move, if King takes rook, its stalemate.

Well on the first move, if black takes the rook, the bishop checks and forks the pawn, so its draw (which is what white is aiming for).
On the last move, if King takes rook, its stalemate.
Your explanation shows stalemate defence!

Your question was what if black takes the rook, and what is the result. That effectively is one question.
Ok, so, if black takes the rook its stalemate on the last move, or if black takes the rook on the first move, its drawn as the bishop checks and forks king and pawn, making it a draw as there is no way to checkmate for both sides (forcefully with good/best play ofc).
So if that doesn't answer your question, explain further?
if black takes the rook, white can draw with Be4+ and its drawn.

One from my game just played:
http://www.chess.com/livechess/game.html?id=133783166
Note Nxe5 takes off my attack and leaves black with an advantage

Found this while exploring the French:

Number 19 before I said I had took the moves out so you could try it for yourself, but I deleted that because I thought it was pointless, but oops I guess not sorry. So its not "broken", but on its own for you to try.
And Bxc6 is the correct answer, well done!
Cheeky one from TT, got me =(