The fact that you know its a spider wrap leads me to believe you know a thing or two about anti theft devices, things that common people do not know.

Also, be honest, have you stolen in the past? What is your criminal record like? How did they ID you?

You need to not talk to the police and make them charge you. Once charged, obtain legal counsel and let them do their job.

In the future, do not remove anti-theft devices from items.

As a part of my former job, I would present to employees at my stores on ways people defeated our security measures. Sometimes I would carry a booster bag or "magic bag" from my car to the store. One time the cops stopped me because someone reported me. I almost was charged for possession of burglary tools until they found out what my job was.