Hello ,
you know you can actually generate the core dump manually. as per KB VMware KB: Manually regenerating core dump files in VMware ESXi/ESX
and then open up call to VMware, They might confirm if its a bug or a fix is available for the same after the analysis of dump
And to add to the PSOD, it seems to be caused by the E1000 Nics, Try changing the adapter type to VMXNET3
and hopefully that should resolve the situation.
Hope this helps.
Thanks,
Avinash