Thanks for that info. It settles several questions and provides a final answer.
Your mobo has only one CPU_FAN header, plus two CHA_FAN headers. In the manual there is no indication that either of the CHA_FAN headers can offer choices about which temp sensor to use, so you can use only the CPU_FAN header for controls based in the internal CPU chip temperature. This produces a small dilemma, too. You will need to have both the pump and the rad fan connected to this header. The pump needs to be there so it can be monitored closely for failure. The rad fan needs to be there also so that it can be controlled by the CPU chip internal temperature. But that means that the fan can NOT be monitored for failure because only the pump speed signal can be sent back to this header. So over the long term, you will need to remember to check from time to time that the rad fan is working.
Another issue rises from the mobo info. The manual indicates that all of its fan headers use the new PWM Mode of control with no option for the older DC Mode. That means that none of these headers can control the speed of the 3-pin fan that came with your Asetek 510. (This is not an issue for the pump since it should operate at full speed all the time anyway.) I suggest your best choice here is to buy a different fan to use on the radiator. Get a 120 mm size fan of the new 4-pin (PWM type) design, the speed of which the header CAN control. Chose one that is specified to be optimized for "high pressure" (not max air flow), since this will be pushing air through the small spaces between fins of the radiator. In choosing, do not look too closely at the speed of the fan. You want one that has higher air flow but certainly has a higher pressure spec. "Pressure" specs typically are in mm of water, and values of 1 to 2 are low, typical of "air flow" optimized units. Pressure specs for rad fans should be over 2.5 mm, may be up to 4 mm or even above that for some. So look first for the pressure specs, then among those that qualify look at the air flow rating. And lastly, look at the noise value in dBA - less is better.
Once you get that replacement fan, you need a way to connect both the rad fan and the pump together to the CPU_FAN header. For that you need a simple SPLITTER. Here's an example of one that looks like just cable "arms". It is a 4-pin model, but it will work well with both 3- and 4-pin fans and your pump.
https://www.newegg.com/p/N82E168124..._re=coboc_fan_splitter-_-12-423-161-_-Product
That one has 12" long "arms", but a 6" one also is available. Note that this SPLITTER has only two types or "arms". One ends in a female (with 4 holes) connector that plugs into your CPU_FAN header. The other arms both end in male outputs for the pump and a fan. Do NOT buy a HUB; it is a different device that has an additional"arm" that must plug into a SATA or 4-pin Molex power output from the PSU, and you do not need that.
Look closely at the two outputs. ONE of them has all 4 pins, and that is the one that WILL return the speed signal from its device to the header. So plug in your 3-pin PUMP connector there. The other is missing Pin #3, which is how it avoids sending the speed signal from that device to the header. Plug your 4-pin fan in there. That may seem backwards, but that is the right way. This will allow the CPU_FAN header to change the fan's speed according to the CPU internal temperature, but the fan's actual speed will never be "seen" by the mobo. Meanwhile, the way the pump wiring is designed, it will always receive the full 12 VDC power it needs. For most pumps, that means it would run full speed all the time; however, as I said above the Asetek web page indicates it may change its own speed independent of the mobo header. With connections made this way, the mobo CPU_FAN header WILL show you the speed of the PUMP unit, and will monitor it for failure.