GW2 en PC renders black screen and chopped audio on startup

Your graphics driver is way too old.  It should be at least updated to last October, when AMD stopped providing new drivers for their HD 5000 and 6000 generations. 

Your CPU is just slightly slower than the minimum, and shouldn't be the reason for the non-rendering screen. 

       Processor: Intel(R) Core(TM) i7 CPU         870  @ 2.93GHz (8 CPUs), ~2.9GHz
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Display Devices
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          Card name: AMD Radeon HD 5700 Series
       Manufacturer: Advanced Micro Devices, Inc.
          Chip type: AMD Radeon Graphics Processor (0x68B8)
   Dedicated Memory: 1014 MB
  Driver Attributes: Final Retail
   Driver Date/Size: 04/11/2015 0:00:00, 1479808 bytes
        WHQL Logo'd: Yes
-------------
Sound Devices
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            Description: Speakers (VIA HD Audio)
      Driver Attributes: Final Retail
            WHQL Logo'd: Yes
          Date and Size: 15/06/2015 0:00:00, 701136 bytes 

Use a Radeon driver from here:

http://support.amd.com/en-us/download/desktop/legacy?product=legacy3&os=Windows%207%20-%2064

My Spanish isn't the best -- used almost solely for ordering meals at local Mexican food eateries, so the trailing end of the report, with copies of AppCrash Data, is not anything I can work with. 

Well, according to the vendor, It's up to date.

Do you know of any updates post this one?

Vendor versions can lock you into using outdated garbage; IMO, any vendor trying that foolishness will NEVER get my business!  AMD provides the most up to date Radeon drivers, and if you can't use them, get rid of that HD 5750, get a more current video device, and never buy another GPU card through that 5750's seller. 

http://support.amd.com/en-us/download/desktop/legacy?product=legacy3&os=Windows%207%20-%2064

Yesterday I installed the Crimson Drive (the bottom one in your link), as you can see in this new dxdiag.txt

Same behaviuor. Didn't solve the issue

Anyway, my Video Card has been good from the moment I bought it up to now.

It's natural that tech things get outdated

Nevertheless this is the first game I cannot run. Can do all the GTAs, FIFAs, etc

So, I will try to return this game. I understand this card is not below the minimum requirements line, so I will push for a refund

In some moment I will decide to update my pc. Buy not because of just one game

Thank you

As noted, I am not particularly fluent in your language.  There is a lot more to a DxDiag than the parts I've been able to review for you.  Your audio drivers were not as old as the video drivers were.  If you are to seek to cancel your purchase and get a refund, this is a Game Player Community website here.  We're not part of the EA business process system.  Refunds are handled on the EA Help Center website (link will follow). 

The automatic no-questions asked robot refunds are only good for a quite short time, so you probably have to speak to a Game Adviser about your game's failure to play on your computer. 

http://answers.ea.com/t5/Answer-HQ/How-to-contact-a-Game-Advisor-using-the-new-EA-Help-page/m-p/2161281#U2161281

OK, see you next time, following your eventual upgrades!