Update:
Steam detected files to redownload. Trying to do so, it stopped mid-dl saying that my drive was corrupted. I tried to check what was going on by browsing my HDD, and it froze. I restarted my PC and my HDD was gone. I thought that it may have died but today it is back. So... I think my HDD is dying, and I don't know if it was the cause of the freezes, or if the freezes accelerated the dying processus. Anyway, I'm going to buy a second SSD and will update this post when I will get it and checked if the freezes are still remaining or not.