@jeveuxjeje- No as long as you only use one (doesn't matter which one). Make sure the other is disabled or at least set to the same resolution. I can't be sure, but I would think that it might be too much for you GPU to control both resolutions at the same time if both monitors are enabled. Also if you can start the game, make sure it's video options are set the same.
To all you other guys with this problem - Have you tried all the windows built in troubleshooters. Win 10 has quite a few in settings/update&security/troubleshooting but I am not sure with Win 7 (been so long since I used it). I would think the path would be control panel/update&security so on..... Just try the ones that may be apllicable - update, network, display etc.
Just as a footnote - My PC is less than the minimum specs for SWBF2 (my GPU is GTX560) yet I can play the trial version (same game just time limited). It loads OK plays all modes, some with a little lag (fps) and a few display artifacts. The game is large and getting larger. Disk space and windows pagefile space may be coming into play and even memory. I normally play on Xbox and have had very few problems such as yours. In reality, I don't think your problems are due to the game itself but more to do with issues on your PC's. Win 7 players seem to have the most problems. Win 10 is now much more stable. All the rigs I have seen via your dxdiag files easily meet the minimum requirements and should have no problems running the game. What has come up with some is that the game starts but after a few minutes crashes or restarts the PC. One thought is that the PC could be overheating. I, at least once every couple of months, do maintenance on my machine as follows - make sure the pc is clean and free from dust, check all cooling fans are working (some will only come on at certain temperatures), check all cables are in place, I re-seat all my add-on cards (Graphic card in particular), check for bios and driver updates. Most manufactures have driver update tools free to download (I tend not to use 3rd party ones). The same applies for my networking equipment plus I always turn my modem/router of overnight when not in use. That gives it a fresh hard reset every day. All this usually gives me a trouble free PC/gaming experience. It also wise for some who have upgraded their PC components to check their power supplies. I remember changing my CPU and graphics card only to find my PSU could was not putting out enough Watts to handle the upgrades. Had to change my PSU to currently 800 watt unit (more powerfull rigs may require more). Those with who bought preassembled PC's should still check the wattage rating on their PSU. Some suppliers may have fitted a cheap one to reduce costs.
Yes, I still have had problems with the electronics & software but few and far between. Sorry about the rant but you might find something in there that solves your problem. Some of you might also carry out periodic maintenance such as this and will find nothing that helps.
The above is not a sign-off, I am like a dog with a bone and will still continue researching until I can come up with some answers for you.
PS. Go to this link. It won't fix your problem but will give you another perspective and a smile:> https://www.kotaku.com.au/2017/11/the-first-10-things-to-do-when-your-pc-cant-run-a-new-game/