Please note that this isn't Adobe. This is a user-to-user forum -- though we may still be able to help you.
What is your operating system? What processor do you have and how much free, clean, freshly defragmented space is on your hard drive?
What model of camcorder is your video coming from and what format and resolution is it? What are your Premiere Elements Project Settings (as listed under the program's Edit menu, on the General page)?
Premiere Elements 13 on Window 10 (assumed 64 bit). Have you updated 13 to 13.1 yet using an opened project's Help Menu/Updates?
What are you doing
burn to DVD-VIDEO standard or widescreen on DVD disc
burn to AVCHD on DVD disc
burn to Blu-ray disc format on Blu-ray disc
Just before you hit the Burn button of the burn dialog, what does the Quality area of the burn dialog show for Space Required and Bitrate?
What video card/graphics card does your computer use? Please do to Edit Menu/Preferences/General and remove the check mark next to the preference which is named "Use Hardware Acceleration (works on Intel HD Graphics 2000 and higher)". Do the burn to again. Does the burn to now work?
For troubleshooting purposes only for now, if you cannot burn to disc successfully, can you burn to Folder (4.7 GB) if DVD and AVCHD is choice?
Let us start here and then decide what next.