No, it will not. First of all, in order to get DP video out you need to have either a proper Thunderbolt-enabled USB-C port or a true DP (Display Port) output on the PC (and you have neither). Secondly, to my knowledge, support for 4K@60p via HDMI connector requires a 7th generation processor. You might get 4K@30Hz out of your HDMI but that's it.
Hope this helps,