This will do the job just fine. Especially since the games you listed are not that intensive. But it will play any intensive game just fine as well.
I focused a fair amount on silence for this build. The extra case fan is for the front of the case, to provide just a bit more airflow to the GPU.

For your internet connection, it really depends on what your provider is able to give to you. Since you're from the lovely land of.. slow internet. I doubt that your ISP is able to give you over 100Mbps?
If you're able to provide me with a shared screenshot result of www.speedtest.net I am able to see what you're up against.

I will provide you with my standard list of videos to help you understand why I went for certain parts over others.
I'll also provide you with a couple of great guides to help you build the PC.

As for what you need to build a PC. Pretty much only a Philips head screwdriver & an static free work place. I will provide a bunch of items that I personally have with me when I build a PC as well. You can decide for yourself what to get or not. I will also explain the items in a reply to this post.

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PCPartPicker part list / Price breakdown by merchant

Type|Item|Price: ----|:----|:----
CPU | Intel Core i5-6600K 3.5GHz Quad-Core Processor | £199.98 @ Aria PC
CPU Cooler | CRYORIG H5 Universal 65.0 CFM CPU Cooler | £45.99 @ Ebuyer
Motherboard | Asus MAXIMUS VIII HERO ATX LGA1151 Motherboard | £0.00
Memory | Corsair Vengeance LPX 4GB (1 x 4GB) DDR4-2400 Memory | £22.28 @ Amazon UK
Storage | Samsung 840 EVO 250GB 2.5" Solid State Drive | Purchased For £0.00
Storage | Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive | £37.14 @ Aria PC
Video Card | Sapphire Radeon R9 390 8GB Nitro Video Card | £252.99 @ Ebuyer
Case | Fractal Design Define S ATX Mid Tower Case | £58.96 @ Aria PC
Power Supply | Corsair RMx 650W 80+ Gold Certified Fully-Modular ATX Power Supply | £74.99 @ Aria PC
Case Fan | be quiet! Pure Wings 2 61.2 CFM 140mm Fan | £7.28 @ Aria PC
Tool #1| Magnetic Tray 150mm | £4.24 @ Amazon UK
Tool #2| Small cable ties| £1.90 @ Amazon UK
Tool #3| Velcro cable ties| £2.99 @ Amazon UK
Tool #4| Cutting plier| £1.61 @ Amazon UK
Tool #5| Magnetic Philips head screwdriver| £5.15 @ Amazon UK
Tool #6| Anti-Static wristband | £1.79 @ Amazon UK
| Prices include shipping, taxes, rebates, and discounts |
| Total | £717.29
| Generated by PCPartPicker 2016-01-15 01:08 GMT+0000 |

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####Learn about cool technology in only a couple minutes!

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What is overclocking?: Here - 2:32 minutes. << Important

What is the difference between i3, i5 & i7?: Here - 4:32 << Important
What is hyperthreading?: Here - 4:47
CPU shopping guide: Here - 5:01 << Important
GPU shopping guide: Here - 4:11 << Important
How many cores do I need for gaming?: Here - 8:18 << Important
DDR3 vs DDR4 speeds: Here - 8:01
USB Type C: Here - 4:30
What are benchmarks?: Here - 5:21
Pre-built vs building your own?: Here - 6:04
Optical vs laser mouse: Here - 2:10
SSD vs HDD: Here - 4:05
What is resolution?: Here - 5:22
Different panel types: Here - 2:29
Monitor refresh-rate: Here - 5:46
What is Free-sync?: Here - 5:29
Case air pressure: Here - 5:21
Case fan orientation: Here - 3:42
What is a NAS?: Here - 5:06
What PSU to buy?: Here - 5:12 << Important
What does 80+ mean?: Here - 3:02

Likely that TechQuickie got even more video's that you can have a look at to get answers. It's a great youtube channel for easy, quickly explained questions about PC tech.

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####Guides!

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Now before you have a look at all these guides. The best guide in most cases will always be your MANUAL. Some manuals are garbage, but most of them are more than good enough to be able to help figure out most problems.

How to build an Intel 115x socket PC? This is my personal favorite because it goes in depth, but still keeps the video relatively short. It also got great camera work so you are able to follow all the steps very well. I decided to skip the start of the video. The reason being that the video is posted on 17th of May 2013, he gives the rationale of his selected parts at the start. This is a very long time ago, so the parts are very old, so no need to hear this out. But building a PC is still pretty much the same. No drastic changes.
There are a lot of different build guides on the internet, but I really like this one. It's easy to follow.

How to install a 115x CPU? Very simple and easy to follow guide again.
How to install thermal compound? Now, to be clear! Every single heatsink will come with its own thermal compound. Even the intel/AMD stock heatsinks. So there is no need to buy this.
It's only recommended to buy when you either have very bad temperatures or when you want to overclock to the extreme. The temperature difference between the best and the "worst" thermal compound is a couple degrees Celsius.
Be careful though! More is not better! It needs to have enough, but too much will dramatically increase the temperatures of the CPU. Thermal compound helps with the contact of the cooler + the CPU. The CPU + heatsink both have microscopically small gaps, which the thermal compound fills up to let the heat get too the heatsink.
How to install RAM? It's very simple these days. For DDR4 it's pretty much the same.
How to install Windows 8(.1) or 10 from an USB drive? You have to download "media creation tool" which is located at the bottom of the page (blue button). Run that program with a 4GB+ USB flash drive plugged into a PC. Then follow the simple steps and the program will make the USB drive bootable. After that all you have to do is build the PC and boot from that USB drive to install Windows.
How to set up your SSD & HDD? This video is another older video, but it works pretty much the same in Win 8/10. He does talk about a few things that aren't very important, but it's good to know.
How to overclock an Intel 1151 Skylake CPU? Again a simple video and not too long. They used an Asus motherboard, so it will be generally the same BIOS/UEFI. I would personally start with a 1.2V & 43 multiplier. I might have been unlucky with the CPUs that I overclocked but 4,6GHz wasn't running at 1.2Vs that often, just one so far.
* How to use Ninite? This video explains it very well, as well as their recommendations. For security I advise to only get Avira (if you don't mind to get an add every day; if you do mind - just use Microsoft Defender) & Malwarebytes. If you want to pay for an anti-virus; Webroot! Light weight; very high detection rate.

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