Dell Inspiron 3537 :: Unknown Driver Appears To Have Caused System Crash

I have a Dell Inspiron 3537 few weeks old. Originaly was Win8, but I update it to Win8.1.

After I registered laptop, next step was to partition my C: partition on two parts, partition C (OS), and D (Data). After that I successfully installed all programs I need. And after few days problems started with few BSoD. There are few problems and I will explain all of them.

My Dell checkup "Blue screen troubleshooter" reporting every few days one or more BSoD with explanation: "The unknown driver (C:Windows/system32/drivers/atikmdag.sys) appears to have caused a system crash. Complete the tasks below to prevent unexpected shutdowns in the future."

On same My Dell checkup I try to run "PC Checkup", and everything appear OK, no problems reported. Custom scan on only ATI video card (ATI Radeon HD8850), and result is "Passed".I also run build in DELL diagnostics (Boot menu) and there was no errors, and also Dell online diagnostics and everything was fine.

I try to install new driver from DELL website (AMD Radeon HD 8850M driver 13.151.0.0), but during installation, screen blinked few times and then went off. I thought that this is OK since video driver was installing. I left Laptop for one hour to "finish installation" but noting happened. I turned off laptop by pressing ON/OFF button for 5 sec, but after that laptop don't want to restart. Here I noticed other problem I will share with you in the moment. Fortunately, I installed Acronis True Image 2014 so I was able to restore a system. BTW, same driver version was already installed acording to "MSINFO32).

Now, my system is running, I can still see BSoD warning  in My Dell Checkup, but actually I don't actually see this BSoD. Strange. If I right click on desktop and then click on "Graphics Property" or "Configure switchable graphics" I get this warning:

Second problem. During my laptop beforehand explained "BLACKOUT", I tried to use Windows Recovery. I tried "Refresh" and "Reinstall" and both times I got message:

"Could not find the recovery environment. Insert your Windows installation or recovery media, and restart your PC with the media".

If I try to use "Dell Backup and Recovery", I got message:

"Dell Backup and Recovery has not been able to detect the recovery Partition on this computer. It may be missing or corrupted. To recover your computer to the original factory state and restore the Recovery partition, please use your System Recovery Disc." etc...etc...

I don't have any of this discs coz OS was preinstaled. So, basically I can't use any facilities to recover my laptop because I don't have factory recovery media or recovery disc. Fortunately I'm using Acronis, but that's not a point. I want something to recover my system to original, factory state.

Actually, Windows Restore facilities are OK and I can restore to some point I created.

BTW, my hard drive is partitioned on 7 partitions. Originally there were 6 partitions with huge C: partition. I split this one on two. 

And also, since this BSoD is likely caused by video driver, how can I safely update this driver. As explained before, after first try I had disaster. Can I try to install new driver for AMD Radeon HD 8850M from ATI site?