Well Alp
1. You said you had some BSOD .... but i dont see any dmp files in the uploads... Could you check C:\Windows\minidumps and see if anyfiles are there..... Without these it would be difficult to pinpoint the exact problem..... Also check if you have memory.dmp (this is a big file.....so you would need to upload it to dropbox or skydrive or another third party file hosting service )...even that can help.
2. Even though you have provided the HP model number.... checking the bios version at the site and the one you have installed doesnt show up in their list...... So it would really help if you can also provide the Product Number usaully mentioned in the sticker at the bottom of the laptop....
3. Based on what i can deduce from the logs.... i see you have lots of issues related to GEARAspiWDM.sys which is know to cause issue or BSOD.... This
driver is CDROM filter driver... used by products like iTunes, norton etc.. I am not sure which programs uses this....on your system..... so the best bet is either remove or update... Please do remember....Completely removing the GEAR driver set from your system may result in GEAR software applications and any applications using the GEARwrks API not being able to "see" any recorders. Go here to remove or update it... follow the procedure mentioned there
Do these and let me know the product number for your model....