I am Samuel and I can help. If you do a restore from Itunes you will unfortunately lose your data.
No this is part of apples security. There are people who can recover pictures but the are costly.
Apple has some of the hardest to work around security. I am sorry :( they want everyone to back up there info all the time for this reason.
The people I have seen online are close to $300
No problem I am sure they will tell you the same the FBI can not bypass Apples security. I hope you get a happy resolve sorry I am sure you do not love my answer but it is honest! Have a good rest of your Sunday.