Thanks for the details; now I can advise.
Your mobo has three standard CHA_FAN headers which can do the job, and I don't think you need to use the H_AMP_FAN header. When you set this up, you need to configure each of those three headers to use DC Mode for controlling the fans. See p. 3-7 of your mobo manual, and configure each of those CHA_FANn headers using the "DC Mode" button at upper right.
The limit on this is that each of those headers can supply up to 1.0 amps to its fans. Now, your AF120 LED fans draw 0.4 amps each, so putting two of them on one header using a Splitter is OK, but not more. That would take care of the four added fans using two CHA_FAN headers. Of the three fans included with the case, the two front ones are AF140 LED Quiet Edition units (I think) spec'd at 0.23 amps each. The rear one may be the same, or it may be a non-LED AF140 Quiet Edition at 0.1 amps. So all three can be connected to one CHA_FAN header with a Splitter.
For the four AF120 LED units on two CHA_FAN headers you'll need two Splitters. Here are a couple examples
https://www.newegg.com/Product/Product.aspx?Item=N82E16812423168&cm_re=coboc_fan_splitter-_-12-423-168-_-Product
https://www.newegg.com/Product/Product.aspx?Item=N82E16812423169&cm_re=coboc_fan_splitter-_-12-423-169-_-Product
Those each are 3-pin Splitters with two output arms; one has 6" arms, the other has 12".
For the three included fans, you need a Splitter with three outputs, like this
https://www.newegg.com/Product/Product.aspx?Item=N82E16812423162&cm_re=coboc_fan_splitter-_-12-423-162-_-Product
That unit is made for 4-pin fans, but it works just as well for 3-pin fans. It has its three outputs along a single arm, but that may not get you to reach to the back fan location. You may need a fan extension cable like this
https://www.newegg.com/Product/Product.aspx?Item=N82E16812423167&cm_re=fan_extension_cables-_-12-423-167-_-Product
That's 12 " long, but others are available.
I mentioned above setting each CHA_FAN header to use DC Mode. They also should be set (across the bottom) to "Standard" mode for normal pre-configured automatic control. The manual does not mention this last item, so I don't know whether it applies to your mobo. Some mobos have several temperature sensors in them and allow you to choose which one will guide each fan header. IF that option is available to you for each fan header, I recommend that the CPU_FAN header use the CPU temperature sensor, of course. But for the CHA_FAN headers, they should use the Motherboard temperature sensor.