Will this pc handle these games?

I don't see any reason on why it shouldn't....Although if you do have the money and time, try and research a bit better video card just to be on the safe side.
One video card for example could be the R9 270. It's good and might even play your games at high ultra.

Well, from what I have seen of your build, I had the Pentium G3258, it was great for all around gaming, etc. The graphics card I would suggest a upgrade on though as soon as possible, and if you get the chance AMD processors are fairly cheap and run well. In my opinion, I think that you will be more then happy at those FPS on those games, it should serve you well. I've never had a R7 250x, only a R7 260x and that was able to run Skyrim maxed out, so you should be able to push skyrim a bit higher. But for mods, that depends on the mods you are getting for the game, are they graphically enhancing, or just for other things that don't have to do with graphics? But either way, that PC is will more than likely be able to push the limits and goals you have set it. So, my conclusion to all the games you want to play IS: You should be able to run them all fine. And possibly push some of them graphically higher!

It's will struggle a bit above medium settings. Dragon age will be 30ish I think. A better GFX card can certainly be done at that budget. And 4GB of RAM is not enough.

I also would advise against any Corsair PSU with a "C" in it.

Here's a base build minus GFX card for $350

[PCPartPicker part list](http://pcpartpicker.com/p/Qj42NG) / [Price breakdown by merchant](http://pcpartpicker.com/p/Qj42NG/by_merchant/)

Type|Item|Price
:----|:----|:----
**CPU** | [Intel Pentium G3258 3.2GHz Dual-Core Processor](http://pcpartpicker.com/part/intel-cpu-bx80646g3258) | $64.98 @ NCIX US
**Motherboard** | [MSI H81M-P33 Micro ATX LGA1150 Motherboard](http://pcpartpicker.com/part/msi-motherboard-h81mp33) | $40.98 @ Newegg
**Memory** | [G.Skill Sniper 8GB (2 x 4GB) DDR3-1600 Memory](http://pcpartpicker.com/part/gskill-memory-f312800cl9d8gbsr) | $54.99 @ Newegg
**Storage** | [Seagate 2TB 3.5" 7200RPM Hybrid Internal Hard Drive](http://pcpartpicker.com/part/seagate-internal-hard-drive-st2000dx001) | $99.99 @ Amazon
**Case** | [Rosewill FBM-01 MicroATX Mini Tower Case](http://pcpartpicker.com/part/rosewill-case-fbm01) | $29.99 @ Amazon
**Power Supply** | [EVGA 750W 80+ Bronze Certified Semi-Modular ATX Power Supply](http://pcpartpicker.com/part/evga-power-supply-110b20750vr) | $59.99 @ NCIX US
| *Prices include shipping, taxes, rebates, and discounts* |
| Total (before mail-in rebates) | $370.92
| Mail-in rebates | -$20.00
| **Total** | **$350.92**
| Generated by [PCPartPicker](http://pcpartpicker.com) 2015-04-20 20:15 EDT-0400 |

Now we gotta figure out what GFX card fits in your case....unfortunately Rosewill does not supply this information.

An MSI 960 is $191 and is about 4 times faster than 250x bringing total to $542 ... but since ya get the $60 Witcher 3 with it..... if ya buying that game anyway, that drops the net cst to $482. It's 10.6" long....as Rosewill or measure ya friends case to see if it fits.

The Gigabyte will fit, it's $185 price tag brings total to $536 ... or $476 after ya figure in Wither 3
http://www.newegg.com/Product/Product.aspx?Item=N82E16814125772

A 270x is an option also but it's about 12% slower than the 960 and 3.5 times faster than the 250x

Those would have you at + 40 fps at high settings and able to handle