With the new engine and my PC being too outdated now, sadly I won't be playing the next Dragon Age. I would love to, but I don't do consoles and can't afford any upgrades for my PC. I'll have to watch someone do a "let's play" on YouTube instead.
I'd give it a shot if I were you, Frostbite 3 is not that hard to run if you lower / turn off the über demanding settings (displacement mapping, ambient occlusion, soft shadows and that kind of stuff).
Battlefield 4 works on washing machines if you run it on low settings, and DAI will be less demanding.
- Sound: something relatively cheap and effective...sound bar? Budget: ~$250
You have pretty decent headphones on that budget, they will sound way better than everything else you could buy.