No, don’t shred it. It could be the tip of the iceberg for identity theft.
Please read this link — and follow the instructions.
And take “screen shots” (by pushing the “prnt scrn” button on your computer, then pasting that into an email to yourself) when you report this fraud to IDES and the FBI.
Follow all the instructions about freezing your credit and READING your credit report to contact any institutions like banks that inexpicably checked your credit report.