Frank Hamilton, Federal Investigation Department, State Attorneys office, Arrest warrant against your name, settle before trouble at home or job, printed name does not match signature. Joliet Illinois

Its a scam...just like the phone calls people get from fake debit collectors, or the bottom feeder collectors. Its a common place with them. Their phone calls are the same stuff. They will act like a law officer, or such and threaten to have a officer come to your house, or work and arrest you that day if you dont pay some crazy amount by western union, money pack and the like. Do not pay them, or even worry about it.  Go to 1800 notes. com and read up on the hundred of thousands of people getting these calls and emails. And around this time of year its common they step up their harrnessment.

This is obviously a scam to extort money from you.  In this case the scammers have crossed the line by creating a document that makes it appear that the United States government is involved.  This may be the fuel needed to finally get law enforcement out of the donut shop and onto the trail of the ragheaded terrorists behind the scam.

Print out the text of the email, the text of the headers, and this fake "warrant" and take it to your local FBI office.  You might also want to send copies of the above documents to the presiding judge at your local federal district court.  Since there is also reference to an Illinois state district attorney, this same information should be sent to both the Illinois Attorney General and the real district attorney in Joliet. 

I do not know about federal or Illinois law, but in my state it is a crime to simulate court documents.

BTW, you are dead right about the grammar. Whoever wrote the text of the email you received does not speak English.