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I have seen those before. You wont need to do much differently with the wiring. You have 6 wires and our connector has 6 positions... so you will just use all 6 rather than only 5 like the older hat connectors.

We can trace each wire with your pictures.

Bottom side:
Black & Blue = Fuel Pump
Red & Black = Level Sensor
Yellow & Yellow = Temp Sensor

If you look at the connector for the top side, you can discover the purpose of each individual wire by flipping over the hat and seeing where each one comes out on the bottom. In your pics we can see that

Top Side:
Pink & Black = Fuel Pump
Yellow & White = Level Sensor
Black & Red = Temp Sensor

You can crimp the terminals and connect each wire coordinating the same as the stock connector and its all set to go. I would recommend using a multi-meter continuity test function to verify each relationship... but the pics make it appear easy to tell which is which.

Just for reference, polarity on the sensors is of no consequence. It only matters for the pump. But may as well match up the polarity too. So again, if you look at the top connector.. the pink wire comes in, and then comes out the bottom as a blue wire. So with the new connector kit, you will do the same thing... pink on top leads to blue on bottom. And then move over to the next wire (heavier gauge black goes in top, comes out bottom as heavier gauge black), and so fourth, until all 6 are done.

For wiring the Relay Kit.. skip the stock fuel pump connectors ground and ground the fuel pump to chassis (using the small skimpy stock ground defeats the purpose of using a relay kit on the power side). Use the relay kit's instructions for connecting the power side to the pump connector... which means you will use the Pink wire in the stock top-side connector to activate the relay in the relay kit.

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