That crash log doesnt say much unfortunately. It just shows that after you hit the Start Streaming button, it crashes.
Do these recording steps in order to prove that you can record (not stream). This will help in determining if its one of your sources that are causing a problem.
For recording settings, use the following:
Simple Output
Indistinguishable Recording Quality
mp4 (best to use mkv but use mp4 for now to quickly see result with Windows Media Player)
x264
Display Capture Only
Create a new scene, call it DC Test
For sources, just put in a Display Capture
Record
Don't continue if you got problems. There is a general setup problem.
Display Capture + Webcam
For your BRIO webcam, make sure you are using a USB 3.0 port and are running current drivers
http://support.logitech.com/en_ch/software/lgs
Create a new scene, call it DC Webcam Test
For sources, put in a Display Capture and your BRIO webcam
Record
If it doesn't work, its your BRIO.
If everything works above, do this next recording step
Elgato + Webcam
Make sure you have the current Elgato Software
https://www.elgato.com/en/gaming/downloads
Create a new scene, call it Elgato Webcam Test
For sources, put in Elgato and your webam
Record
If it doesnt work, its your Elgato.
None of this is streaming related. You need to make sure you can record first without problems.