Sorry to tell you that your budget is impossible to fit all the requirements. The peripherals you stated require at least 1k, the remaining 2k isn't enough for i5 4460 + GTX960/R9 380, either you increase budget or remove some of the requirements, e.g. mechanical keyboard, IPS monitor etc.

So you want me to proceed for a rig with all requirements included without considering your budget or you want me to suggest a rig based on 3k by ignoring some of the requirements?

And for your info, you won't be able to play at max settings for the games you listed especially GTA V with GTX960/R9 380.

Performance is not too far from 4th gen so you're good to go.
IPS + matte monitor and mechanical keyboard are not cheap, they could go up to 1.5k in total, assuming 1k for monitor if you go for Dell U2414H and 500 for the keyboard (Corsair/Razor/SteelSeries etc your own choice).

So for the time being, just get a cheap keyboard + mouse combo set (< RM 50) and a cheap TN panel monitor (~ RM 400) so you can put more budget in your rig, those fancy things can be upgraded later.