New Build BSOD Issues

I recently built my first PC and about a week ago and ever since I began running it I have been getting several different Blue Screens.

Here are my specs:
CPU: i5-4670k
Video: GeForce GTX 770
Mobo: GIGABYTE Z87X-UD3H
RAM: 16GB Crucial Ballistix Sport 4GBx4
Seagate Barracuda 1TB HDD
Samsung 120GB SSD
Power: Corsair Gold AX850W
OS: Windows 7 Professional 64

I was getting everything set up when I began to see several different BSOD's happening. Some were IRQL_NOT_LESS_OR_EQUAL, IRQL_GT_ZERO_AT_SYSTEM_SERVICE, KMODE_EXCEPTION_NOT_HANDLED, BAD_POOL_CALLER, SYSTEM_SERVICE_EXCEPTION, AND PAGE_FAULT_IN_NONPAGED_AREA.

I ran WhoCrashed for several of them and fixed the drivers that it had identified but the problem still persisted, and keeps identifying ntoskrnl.exe as what probably caused the crash for most others. Most of my week has been spent troubleshooting for all of these issues in any way that I could and I seem to have exhausted most of my options and I'm now at a loss because the only troubleshooting left that I could do requires computer skills that are unfortunately beyond mine.

Something that I did notice though throughout these crashes was that all of them seemed to somehow relate to memory and system interactions. I looked that up and ran memtest for all four of my RAM sticks individually for three passes and it detected no errors so I am not convinced that it is a hardware issue.

I also ran the sfw /scannow command on an elevated command prompt and the most intriguing thing I've found in all of this was that the scan reported that some files were corrupted but it was unable to fix them, in the log I found these lines:

Info CSI 000001c5 [SR] Could not reproject corrupted file [ml:520{260},l:102{51}]"\??\C:\Windows\Microsoft.NET\Framework64\v2.0.50727"\[l:46{23}]"System.Transactions.dll"; source file in store is also corrupted

Info CSI 000002d2 [SR] Could not reproject corrupted file [ml:48{24},l:46{23}]"\??\C:\Windows\SysWOW64"\[l:30{15}]"NlsData0024.dll"; source file in store is also corrupted

These along with several others that looked very similar to it but I won't copy them all because I am unsure if they mean anything, though I can if necessary. I've tried several new installs of Windows with no different results.

The main problem that I am facing with all of this is that I am getting a lot of information and I do not have the expertise to really understand what it means or whether or not it is relevant. I can only deduce so far with my level of knowledge and the only thing that I can determine is that I might have a corrupt copy of Windows or there is a issue pertaining to memory that might originate in another area that I have not identified yet. It also seems to occur when I am using the internet in some form such as downloading things or just being in Firefox. I've let it idle for up to ten hours with no problems and ran BF3 single player for 5 hours with no issue, but I usually do not make it any longer than 4-6 hours when using the internet in some form.

I've run out of options and short of ordering a new OS or replacing parts I am no longer sure what to do.

Here are some of the Whocrashed notes:

This was probably caused by the following module: ntoskrnl.exe (nt+0x75C00)
Bugcheck code: 0x4A (0x74EE2E09, 0x2, 0x0, 0xFFFFF8800B397B60)
Error: IRQL_GT_ZERO_AT_SYSTEM_SERVICE
file path: C:\Windows\system32\ntoskrnl.exe
product: Microsoft® Windows® Operating System
company: Microsoft Corporation
description: NT Kernel & System
Bug check description: This indicates that a thread is returning to user mode from a system call when its IRQL is still above PASSIVE_LEVEL.
The crash took place in the Windows kernel. Possibly this problem is caused by another driver that cannot be identified at this time.

This was probably caused by the following module: ntoskrnl.exe (nt+0x75C00)
Bugcheck code: 0x50 (0xFFFFD8000FBE9008, 0x0, 0xFFFFF800030D4C26, 0x7)
Error: PAGE_FAULT_IN_NONPAGED_AREA
file path: C:\Windows\system32\ntoskrnl.exe
product: Microsoft® Windows® Operating System
company: Microsoft Corporation
description: NT Kernel & System
Bug check description: This indicates that invalid system memory has been referenced.
This appears to be a typical software driver bug and is not likely to be caused by a hardware problem.
The crash took place in the Windows kernel. Possibly this problem is caused by another driver that cannot be identified at this time.

This was probably caused by the following module: ntoskrnl.exe (nt+0x75C00)
Bugcheck code: 0x3B (0xC0000005, 0xFFFFF800033C6261, 0xFFFFF8800C8BE020, 0x0)
Error: SYSTEM_SERVICE_EXCEPTION
file path: C:\Windows\system32\ntoskrnl.exe
product: Microsoft® Windows® Operating System
company: Microsoft Corporation
description: NT Kernel & System
Bug check description: This indicates that an exception happened while executing a routine that transitions from non-privileged code to privileged code.

This was probably caused by the following module: ntoskrnl.exe (nt+0x75C00)
Bugcheck code: 0x1E (0xFFFFFFFFC0000005, 0xFFFFF80003081A0F, 0x0, 0x0)
Error: KMODE_EXCEPTION_NOT_HANDLED
file path: C:\Windows\system32\ntoskrnl.exe
product: Microsoft® Windows® Operating System
company: Microsoft Corporation
description: NT Kernel & System
Bug check description: This indicates that a kernel-mode program generated an exception which the error handler did not catch.

This was probably caused by the following module: ntoskrnl.exe (nt+0x75C00)
Bugcheck code: 0xA (0x8, 0x2, 0x0, 0xFFFFF800034C5E7E)
Error: IRQL_NOT_LESS_OR_EQUAL
file path: C:\Windows\system32\ntoskrnl.exe
product: Microsoft® Windows® Operating System
company: Microsoft Corporation
description: NT Kernel & System
Bug check description: This indicates that Microsoft Windows or a kernel-mode driver accessed paged memory at DISPATCH_LEVEL or above.

I apologize for the length but I am just unsure what is relevant information for this issue.