Hi ChristyCHeitsch,
Welcome to the HP Forums, I hope you enjoy your experience!
I see from your post that the paper tray is stuck in the printer and the paper light is blinking on the printer.
I will be happy to help you.
I have provided a document to go through the steps to see if it will resolve this issue.
'Out of Paper' Error Message Displays and the Printer Does Not Pick Up or Feed Paper.
Check the printer for any jammed paper inside. If you can't remove the paper tray, try gently rolling the printer over on the side to get a better look at what is causing the tray to be stuck. It might be a paper jammed up underneath the printer or in the back. There is a jam access door right above the paper tray, check inside there to see what is going on.
The Jam Light Blinks on the Control Panel.
Try printing a hardware self test on the printer.
Press and hold the resume button for 5 seconds.(green button)
Please let me know if your require any additional assistance.
Thank you for posting on the HP Forums.
Have a nice day.