I was horrified by your spelling and punctuation, so I went ahead and corrected it. Now, as for your questions (and I'm a bit sketchy on the facts so bear with me):
Question 1. Why would anyone want to purchase an option OFF you if the share prices have plummeted? Wouldn't they be better off buying the cheap shares rather than your more expensive option?
ok, let's say you buy a call option (ie. the option to buy) for BHP. Let's assume that the share price for BHP is $10 and the exercise price for the option is $8 (the price at which you can buy the shares). Using a simple model (which ignores the time value of money) the price you would have to pay for the option is $2, so that $2+$8=$10=BHP share price.
Now say the BHP share price goes down to $9. If you wanted to sell that option you would have to sell it at a price of $1. No-one would be willing to pay more (as you infered to in your post) since it would effectively be cheaper to just buy some BHP shares.
[Note: this next paragraph may confuse you, so feel free to just skip it, I doubt you would need to know this anyway.]
In fact with options, there are 3 fixed characteristics (exercise price, number of shares and maturity date) so that leaves only 1 variable - the price. That makes it much easier to value individual options and improves their liquidity through higher trading volumes.
Question 2. Who do you sell the option to? Is there a special market like a derivative market where speculators buy and sell options? Like, I can't see how speculators can make a profit over these options?
I know there's a futures market (the Sydney Ftures Exchange - SFE). As for options, I think they are traded on the ASX, but I'm not actually sure. Originally options were used as insurance or for hedging, but now they are used more for speculative trading in the hope that price fluctuations in share prices will provide you with a profit. Like I said before (I think), it's like gambling.
Question 3. Also about the futures contracts, I thought they remained stagnant and the prices wouldnt fluctuate?? But if u say they do, I'm beggining to get a more solid understanding in derivatives, hedging and options etc. So generally speaking options, futures and derivatives are really the same thing as most options and futures involve commodities such as Gold and oil, but in some cases as u sed, they can involve shares! So generally derivatives (as a non-text book answer) is when the value of the instrument (may it be futures, options etc) is from the value of the commodity (such as wool, gold and oil).
Was that a question? Though I do feel I should point out the difference between options and futures, just in case. Futures are an obligation to trade a certain commodity or security at a future date, whereas options give you the right, but not the obligation.
Also, there are two prices you need to take into account, the exercise price (the price at which the contract specifies you will trade the commodity/security) and the price of the option/future (it's intrinsic value). The exercise price does not change. But as the price of the commodity/security changes, so does the price of the option/future because it's value changes (ie. it is worth more/less).
As for your last comment, that sounds like a reworded textbook answer to me. ie. derivatives derive their value from the prices of other commodities.
Question 4. Can derivatives be from any form of commodities? Does it always have to be say gold, oil, timber etc or can it be consumer goods as well, or will that make it more of a forward contract?
In general most options are for shares or share indices and futures are for commodities (boring ones like wool, copper, timber or oranges). But you can trade derivatives in whatever you like, as long as you can find a buyer.
Just remember, I didn't so Business Studies, so I may not be focusing on things you need to know.