Random BSODs

These are your bug checks and probably caused.

1. Probably caused by : luafv.sys SYSTEM_SERVICE_EXCEPTION (3b)
2. Probably caused by : NETIO.SYS BugCheck 3B
3. Probably caused by : Pool_Corruption BugCheck 19
4. Probably caused by : win32k.sys BugCheck 1E
5. Probably caused by : afd.sys BugCheck 1E
6. Probably caused by : USBPORT.SYS BugCheck 1E

I'd suggest you to do a BLEND hardware stress with prime95 following its tutorial: Hardware - Stress Test With Prime95

You can use speccy to monitor your temps during the test: Speccy - System Information - Free Download

Post back results

Yes I can see that and these issues are related to hardware.
Did the general fix for usb help you in anyway?
Do the tests of prime95 and let me know the results (including the temps on speccy)

Within how many minutes did it crash?

Did you touch your laptop and see if its hot? Cause it sounds like a heating issue.
Do you have a cooler?

My suspicion is on the heating or a defective motherboard but being a new laptop under warranty I would suggest to take your laptop to the vendor and explain them the issues you're having.

It'd be wise not to mess or do something that will void the warranty. I hope they will be able to figure out the problem and supply replacements.

Sorry that I couldn't be of much help.

Let us know what your decision is and if you have time come back and let us know what solved your problems.