Interesting and annoying problem.
Don't know if this is possibly part of the problem, but are you using or have you used the MBAM trial or paid version?
I had problems with it showing funny things and connecting to the internet by itself especially after the trial ran out. I think the problem was that after it had run with self updating, there were problems of it somehow trying to update itself or being unstable after new updates as reverted back to manual only.
I did experience crashes at the time, buy I also became aware that I had root-kit infections on my system. So not entirely certain what caused the crashes, program instability or the root-kits but I swiped my system clean, perform a fresh install of everything but only chose the free MBAM this time. Are you sure your system is clean?