Bug report and Settings crash on Nexus 4
Don't know about Settings issue but the bug report thing is pretty popular: Google's devices do a report now and then (don't ask me why.... maybe those reports are sent to Google to keep everything under control or to check if something goes wrong) so just don't worry. 
On my Nexus 5 I can even make a bug report everytime I want (just by pressing power+volume up at the same time) and you should have the same feature.
It basically depends on the activation of USB Debugging: if it's active, then the bug report creation is active. 
You can disable it by simply disabling USB Debugging or by going into /system/bin and renaming bugmailer.sh to bugmailer.sh.bak or deleting it. Then just reboot and no more bugmailer. 
Let me know if this helped you someway :)

P.S.: for the Settings issue just try the simplest thing: go into the app drawer -> long press on "Settings" app -> move it to the upper side (App Info) -> clear data. 
I feel optimistic and think the problem will disappear ;)