Silman had an article on this.
Is this allowed?
Yes, I believe you are permitted to request your opponent to make his move.
I'm not sure about the second though Serbian. I would assume no.
I believe Karpov aksed Kasparov once to make his move before he decided (Complicated position)
But that was like 10-20 years back so thats why i was wondering.
Draw offers should be made with a move. If your opponent offers a draw on his own turn, it's perfectly valid to ask him to make his move first. I've done this in USCF tournament games more than once.
Once the offer is made, and the opponent's move is made, you have three choice: accept the draw, decline the draw verbally, or else decline the draw by making your own move. In tournament games, I never decline draw offers verbally. I've gotten in the habit of instinctively answering draw offers with "I'll think about it", so they'll put down their hand and wait for me to make a decision. This applies even if I know I'll decline the draw. I like to take the time to be sure, then either move a piece or accept the offer.
Once a draw offer is made, it cannot be rescinded. I actually had an opponent try that on me in a tournament game once. The TD ruled that the draw offer was still valid until I'd accepted or declined it, and that he couldn't take it back. This is backed up by the USCF rulebook. I'm assuming FIDE is the same.
--Fromper
Yes you can ask the opponent to move before you make your decision.
Once a draw offer is made it can not be withdrawn and remains in effect "until the opponent accepts it, rejects it orally, rejects it by touching a piece with the intention of moving it or capturing it, or the game is concluded in some other way." (quote from FIDE article 9.1, also noted in USCF rule 14.3b)
It is always suggested to make your move, make the draw offer, then hit the clock so the opponent can mull over the draw offer on their own time. So, if your opponent offered a draw before moving and then notices a good move, such as a forced winning line (but not immediate checkmate since that would conclude the game in some other way), then the draw offer still stands unless it was rejected orally as above.
"A player wishing to offer a draw shall do so after having made a move on the chessboard and before stopping his clock and starting the opponent’s clock. An offer at any other time during play is still valid but Article 12.6 must be considered. No conditions can be attached to the offer. In both cases the offer cannot be withdrawn and remains valid until the opponent accepts it, rejects it orally, rejects it by touching a piece with the intention of moving or capturing it, or the game is concluded in some other way."
Fide handbook.
(12.6 is about offering nuisance draws)
You don't actually need to ask for a moment to think about it.
absolutely right, AMcHarg.
your clock is running, and you are on your time, and the draw offer, once made, remains an offer until accepted, declined, or a move made (making a move is the equivalent of declining and can be the only response made).
You don't actually need to ask for a moment to think about it.
If the opponent looks like they're waiting for a response after offering the draw, I find it's polite to let them know I'm not in a rush to answer.
--Fromper
You don't actually need to ask for a moment to think about it.
If the opponent looks like they're waiting for a response after offering the draw, I find it's polite to let them know I'm not in a rush to answer.
--Fromper
I always look like I'm waiting for a response...
1 b4 (glare)
You don't actually need to ask for a moment to think about it.
If the opponent looks like they're waiting for a response after offering the draw, I find it's polite to let them know I'm not in a rush to answer.
--Fromper
I always look like I'm waiting for a response...
1 b4 (glare)
A true orangutan! 
I actually had this happen. I was in a game a couple weekends ago and the guy offered a draw. I had 10 minutes left on my clock for the whole game and it was my move. I told him that "I'll think about it" and thought for 6 minutes. He is not allowed to retract his draw offer once he makes it, which is why I thought so long over the position. (I accepted it, he was 200 points higher so yay me!)

If in real life my opponent offered me a draw.. would i be allowed to ask him to make his move first before i decide if i wanted to draw or not?
Also would someone be allowed to offer draw, and me thinking about it for 5 minutes and then them changing there minds so i would have to play on?