BSOD twice in 10 min today, while downloading music from iTunes

Hello, I'm new, and I'm doing this in post in safe mode. 2 BSOD in 10 minutes of each other today, prompting this post, several times since I bought this new Dell computer in July of this year. I have updated several drivers since I bought it, there may have been a Dell update going on this afternoon that might have contributed from what I could see in the Event Viewer. I was on iTunes, listening to and downloading music when this happened today. I've tried looking up the codes to see what was the problems were, but I think this is over my head now. Please help. I did the SF Diagnostic Tool, I have uploaded this file. If you need any more information, please ask. Thank you for your time, it is appreciated.
Note 1: I am concerned about software conflicts. Running Outlook 2003, in compatibility mode.
Note 2: my event viewer said there have been 70,000 events since July! Yikes!
The last dozen or so events over a few seconds on the viewer said:
The Computer Browser service depends on the Server service which failed to start because of the following error: The dependency service or group failed to start.
The event before those said: Your computer was not assigned an address from the network (by the DHCP Server) for the Network Card with network address 0x8286F2D6E309. The following error occurred: 0x79. Your computer will continue to try and obtain an address on its own from the network address (DHCP) server.
-- There were several other events, but the 3rd listed event today was:Session "Microsoft Security Client OOBE" stopped due to the following error: 0xC000000D
And it just went downhill from there.

Code:

fffff880`0e425440  fffff880`04898001Unable to load image \SystemRoot\system32\DRIVERS\avgidsdrivera.sys, Win32 error 0n2
*** WARNING: Unable to verify timestamp for avgidsdrivera.sys
*** ERROR: Module load completed but symbols could not be loaded for avgidsdrivera.sys
 avgidsdrivera+0x1

Code:

fffff880`0e425368  fffff880`01d4b0f4Unable to load image \SystemRoot\system32\DRIVERS\avgtdia.sys, Win32 error 0n2
*** WARNING: Unable to verify timestamp for avgtdia.sys
*** ERROR: Module load completed but symbols could not be loaded for avgtdia.sys
 avgtdia+0xa0f4

Uninstall AVG using AVG Remover. Use Microsoft Security Essentials as your antivirus with windows inbuilt firewall, and free MBAM as the on demand scanner.

Report us for any further BSOD.

Hello again, I unloaded AVG, using MSE as instructed. Worked ok for a few days, now BSOD is back. I can be just surfing on Mozilla Firefox and it suddenly, without warning, just shuts down. The last 2 seem to have an error code of 3b. I am attaching the zip file like before, taken today. If someone could please have a look I would appreciate it. I just got this computer new this summer. Sigh.
PS: If I should start a new thread, let me know. I didn't know how to change the original header... and I did run Malwarebytes a few minutes ago, nothing came up.