Your ex "intercepting" 1 email is very small in the course of things and I have seen instances where great harm has been caused by emails being intercepted even death and nothing done by authorties, so if your ex really intercepted your email 1 time, nothing is going to be done for several reasons.
If you were to have any action taken, it is more likely to be done because of violation of federal laws than state laws. Before you go reporting it to the FBI, realize several things. You will need proof. If she had your password with your permission and/or you allowed her to use it at some time in your relationship and you used it on everything and didn't change it, she had your permission unless you recinded your permission in written form prior to this "interception" in 2001, she can claim you gave her your permission and there is nothing to indicate that you did not.
You should have changed your password when your relationship changed and or ended. Also remember, your password is stored on any computer you access, so if you both used the same computer at some time even using separate accounts, that password is stored on the computer and if she got the computer in the divorce she got your stored password in the process, one of the reasons for you to have changed your passwords, no legal action against her will be done based on your failure to protect your password unless some real damage was done. What you described does not qualify as damage.
If your child is appearing with unexplained bruises, there could be a medical reason for this, some bleeding disorders can cause this or bruising with little or no trauma or long after the fact. The next time your child has this occur, take the child to the doctor and ask for this to be checked out, this will involve blood tests and possible referal to a hematologist. Here is the catch, a person may have a bleeding disorder with abnormal bleeding present and "normal" test results because the clotting factors are acute reactants and abnormal test results when there is no sign of abnormal bleeding present. Also a good medical history is necessary. If you take the child to the doctor and they determine that abuse has occured, they are required to make the report to CPS and it will have more weight than a report made by a NCP trying to get out of paying child support, which is what it appears your are doing by what you have written. Taking your child to the doctor with your concerns and inquiring about their health will do you more for your cause than going after your ex re an old email.
You claim she is unstable but it appears you are more unstable than your ex.