Windows 7: Random BSOD problem

Download speedfan to check for possible overheating.
Take stress test
Prime95
Finally go to the website of your hard drive manufactuer and test hard drive for errors. This is beginning to look like a hardware problem.

I Installed speedfan and in the S.M.A.R.T. tab, clicked in Perform an in-depth online analysis of this hard disk and in the webpage received this message:

Troubled attributes:
Attribute End To End Error Count is failing now! Its current value is 1, the worst value was 1 and the threshold is 99. According to the manufacturer, this is an advisory condition.

SERIOUS ISSUE : your hard disk has 53 reallocated sectors. Hard disks do have spare sectors (usually from 256 up to 2560) used to replace bad ones. This remapping operation is transparent to the end user. Anyway, this can lead to degraded performances (because remapped sectors are in different places of the disk than the original ones and the head needs additional moving). If reallocated sectors grow over time, you might encounter some serious troubles. A backup of the most important data is suggested anyway.

NOTE : your hard disk Power On Hours Count attribute current value (75) is below the normal range (99 - 100) reported for your specific hard disk model. Basically your hard disk was powered on for more than the maximum time the average user did. This means that either all of the reports collected are from hard disks that were not powered on for too long (this is realistic for recent models) or that your hard disk is becoming old. Usually this is not considered as a pre-failure advisory, but you should check whether you want to replace the hardware or keep an eye on its performances over time.

The overall fitness for this drive is 50%.
The overall performance for this drive is 95%.

The link to get back and see a new report about this hard disk in the future is this. Consider that new hard disks and new checks are added over time.

This means that my HD have problems, and maybe, need to buy a new one?

I will run Prime95 stress test today at night.

Sorry for the long for reply, my monitor stopped working and had to buy a new online, and only arrived today.

My system frozen after 2 min in prime95, in blend test, and after that, the PC didn't started again with dual channel, I needed to put a memory stick in another slot for the PC start again.

Sounds like your memory has problems under stress, which might be the cause of your BSODs

So I need to buy a new memory stick?

Dont know this test says you are OK. Take it again and lets see what happens.

I taked the tests again with 10 passes in each stick and 8 passes with both of them, and today I received a new BSOD.