Both questions of yours are False. There is no possibility that two cores run the same task at the same moment.
From the OOPS/panic trace, we can know that kernel panic on CPU 0 first, then it triggered the SysRq to "Show backtrace of all active CPUs". That is to say, CPU 1 works good at the time CPU 0 panic, but CPU 0 exception triggered to dump the backtrace of CPU 1.
Now let us analysis why CPU 0 panic: from the backtrace, it happened during "modprobe", so please analysis the kernel modules on your system to locate the one that trigger the panic.