Second Hard drive install caused BSOD and now won't boot.

I assume you have 64 bit windows 7 or 8.x
the max size for a master boot record partition is 2 TB
you will need to make the partition type as GPT and have UEFI support to make a 4 TB partition.

Note: you can break up the drive into (2) 2TB partitions and that should work.
Also, you might consider doing a full format rather than a quick format if you run windows 7.
I know it will take a long time but it will mark weak sectors as bad. Windows 8, it would not matter as much because it will check your drive for problems latter as a background process.

I assume you pulled the 4TB drive and tried to boot on the old drive. If so what bugcheck code do you get?

the first parameter has the execption error code. That might help determine problem.
you could also put the memory dmp on a server and post a link and I can look it up.

yep, whole dump is best, you can put it on any public access server like microsoft onedrive or mediafire.

I think you have a BIOS bug in a sleep function.
there are BIOS updates that indicate updates to the BIOS sleep functions. I would install the update and see if this problem goes away.
http://www.asrock.com/mb/Intel/H97M%20Pro4/?cat=Download&os=BIOS


looking at the memory dump: your machine was up for 2 days but it clearly looks like your system is having sleep problems. I would do a full restart of the system and then download and update the BIOS.
--------------
looking at the first bugcheck.
the system called this function: nt!PopUnlockAfterSleepWorker+0x42
then bugchecked because it detected a buffer overrun.
(NTSTATUS) 0xc0000409 - The system detected an overrun of a stack-based buffer in this application. This overrun could potentially allow a malicious user to gain control of this application.

BugCheck 139, {3, ffffd00022b7ba50, ffffd00022b7b9a8, 0}

KERNEL_SECURITY_CHECK_FAILURE (139)
A kernel component has corrupted a critical data structure. The corruption
could potentially allow a malicious user to gain control of this machine.
Arguments:
Arg1: 0000000000000003, A LIST_ENTRY has been corrupted (i.e. double remove).
Arg2: ffffd00022b7ba50, Address of the trap frame for the exception that caused the bugcheck
Arg3: ffffd00022b7b9a8, Address of the exception record for the exception that caused the bugcheck
Arg4: 0000000000000000, Reserved
ERROR_CODE: (NTSTATUS) 0xc0000409 - The system detected an overrun of a stack-based buffer in this application. This overrun could potentially allow a malicious user to gain control of this application.

machine info:
BIOS Version P1.20
BIOS Release Date 07/29/2014
Manufacturer ASRock
Product H97M Pro4
Processor Version Intel(R) Pentium(R) CPU G3220 @ 3.00GHz
Processor Voltage 8ch - 1.2V
External Clock 100MHz
Max Speed 3000MHz
Current Speed 3000MHz

I think something is corrupting your memory, most likely one of the suspect drivers.
I would update or remove drivers and run a malwarebytes scan and system file checker.
run cmd.exe as an admin then run
sfc.exe /scannow
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ok, I think i have the correct memory dump this time.

the bugcheck was caused by a bad memory address used by
Acronis Virtual Disk driver for the Virtual Disk Storage Filter
\SystemRoot\system32\DRIVERS\vidsflt.sys Wed Feb 13 23:04:41 2013
it could be a problem with the driver or something corrupted the drivers data.

suspect drivers:
\SystemRoot\System32\Drivers\a0x7fsrj.SYS Sat Jul 17 03:58:04 2010
\SystemRoot\System32\Drivers\ai8bbcwp.SYS Tue Sep 10 06:56:12 2013

not sure about:
: Citrix ICA Client USB Monitor Driver
\SystemRoot\system32\DRIVERS\ctxusbm.sys Mon Sep 07 11:09:28 2009
http://www.citrix.com/downloads.html

your intel storage drivers are pretty old
\SystemRoot\system32\DRIVERS\iaStor.sys Mon Sep 13 18:23:32 2010

your doubleTwist iPod Driver is pretty old:
C:\Windows\system32\drivers\iPodDrv.sys Thu Apr 09 21:07:40 2009

your network driver has bugs you should update this:
\SystemRoot\system32\DRIVERS\netr28x.sys Tue Aug 10 20:39:23 2010
Ralink RT2860 series Wireless LAN Card (you may have a different manufacturer)
maybe get update from here: http://www.mediatek.com/en/downloads/

very old software driver:
C:\Windows\system32\drivers\NTIDrvr.sys Tue Mar 24 20:09:39 2009
NTI CD-ROM Filter Driver by NewTech Infosystems (likely a part of Acer Empowering Technology)

antivirus software from 2011, remove:
C:\Program Files\SUPERAntiSpyware\SASDIFSV64.SYS Thu Jul 21 16:03:00 2011
\C:\Program Files\SUPERAntiSpyware\SASKUTIL64.SYS Tue Jul 12 14:00:01 2011

machine info:
BIOS Version P01-A3
BIOS Release Date 02/18/2011
Manufacturer Gateway
Product FX6850
Processor Version Intel(R) Core(TM) i7-2600 CPU @ 3.40GHz
Processor Voltage 8ch - 1.2V
External Clock 100MHz
Max Speed 3400MHz
Current Speed 3400MHz

Hey did you ever resolve this issue? I'm running into a very similar issue with a hard drive, that whenever it is "initiated/turn-on" in Windows 10 it crashes my system with the same error code of "kmode_exception_not_handled"

This happened since I was having sync issues with the hard-drive on a dual boot system, so I had quick formatted it and copied data over. Ever since then, regardless if I use a USB docking station or direct SATA connect to the MB, I get that error message. Happens on 3 different Win 10 computer. The drive spins up fine, is detected fine in the BIOS but crashes Win10.