All five minidumps are the same error code 0x7F: UNEXPECTED_KERNEL_MODE_TRAP
One of three types of problems occurred in kernel-mode: (1) Hardware failures. (2) Software problems. (3) A bound trap (i.e., a condition that the kernel is not allowed to have or intercept). Hardware failures are the most common cause and, of these, memory hardware failures are the most common.
The driver in question in all five is the same NETIO.SYS which is a Windows operating system driver. Usually these OS drivers are too general to be of much help but I don't think so in this case because NETIO.SYS has to do with networking.
So the issue is either your networking drivers, or problems with your networking device(s).
* Go to HP's website, find your exact model and update their latest networking/NIC card drivers.
* Get back to us with the results and if this doen't work we'll try other things. (It is late here on the East Coast so I am hitting the sack)