Car wont start, dash, lights, radio have power. No security light on.

What is your question?

I disconnected the battery recently. Put New battery. Now the car won't start, or even engage, as if no power at all to starter. Dash lights ,radio, & headlights all work. Car wont start, their is no security light flashing. C.E.light flashes 11 times with a beeping sound as if the door is open. Check engine light stays on. Checked with obd2 and no code was given. The car is only good as a radio now. The battery only last 2 to 3 days until it goes dead. Any ideas? would be helpful . Thank you

What makes this problem better or worse?

Nothing the car doesn't start, starter is getting no power.

How long has your 2008 Chrysler 300 had this problem?

3 months.