Nahiko

Also try a different cable to connect the GPU and monitor. I had to buy a new cable for my brother's RX 580 because the one included with the monitor didn't have sufficient signal quality coming from that GPU. The cable works perfectly coming from a 5700 XT, but not from an RX 580. New higher quality cable works perfectly for both.

The answer isn't what you may think. LoL only uses 1-2 cores so the i3 is actually outperforming your i7 due to it having roughly 30% higher sustained clocks. In addition, the mobile 2060 is severely under locked due to power reasons and is barely faster than a laptop 1660 Ti. The desktop 1060 is rather close to the mobile 1660 Ti so the GPU performance delta is also minimal. I'd say the 2060 in your laptop is likely only 15-20% ahead of a desktop 1060 with proper thermal and power limits.
 
In short, the i7 is a mess since the 45W limit is nowhere near enough to sustain clockspeeds on six cores.

Sometimes the motherboard also indicates the size of the SSD that you can install, the 22 indicates the width of the M.2 and this standard never changes, the other numbers 42, 60 and 80 refer to the length of the SSD.
 

in most all zxxx boards, the m.2 drives run off the chipset pcie lanes, so the cpu pcie lanes won't be used for these drives at all.

you should be good, the different numbers you're confused about are different form factors for m.2 drives
 
If I remember right the 970 evo is technically using 1 of the free PCIe lanes that your CPU has (it has 16) and the 660p will also use 1. You won't notice any differences, though