I'm a little confused regarding your issues here...
1. No issues here, I doubt very many people would be able to provide their IP address from 2 years ago... That's just a ridiculous request!

2. Where have you been withdrawing your funds to? bitcoin mixing services or something? Most services like exchanges provide transaction history that should show transaction IDs and/or addresses you deposited to... and obviously all the popular wallets provide history... the only services/"wallets" that don't are generally anonymising services like mixers.
3. If you can possibly find your transaction AMOUNT for a withdrawal... surely you should also be able to find the address that you withdrew the coins to as well??!?

1. I know :/.
2. I have been withdrawing to my Mycelium wallet. To be clear, I have the transactions in there somewhere but I have so many transactions I have no idea which one is from Fortunejack. If they could provide me with a timestamp or exact amount I could probably find it but for now, I have no idea which one is from Fortunejack. I'm not so experienced in the technology behind Bitcoin but I assume that if I find my transaction, I could perhaps find the unique withdrawal address that was used for that withdrawal.
3. Yes, correct. However, since they won't give me any information I have nothing to search for and my account will remain blocked.
Hello fortune Jack site is very reliable, you must provide the data to prove that it is you, they need the information to best help you is a security procedure of all the sites
Have you even read what they are asking from me?