The official answer from M$..."IRQL_NOT_LESS_OR_EQUAL This Stop error, which can be caused by either software or hardware, indicates that a kernel-mode process or driver attempted to access a memory location it did not have permission to access or a memory location that exists at a kernel interrupt request level (IRQL) that was too high. "
For your BSOD it looks like it's driver for the network card (vnet581x.sys).
I'm not sure of the second one
Alan <><