Not a great deal of info on testing the fuel regulator but if you pull the connector off and look at the pins on the connector, make sure the pins look tight. Ideally they want to be almost touching each other.
I use a thin multimeter probe to see how tight pins are in connectors because if people have used the standard size probes it can cause the pins in the connector to open up and cause poor contact on the sensor.
I'd check that first, you can use a small pin/needle/end of a paper clip if needs be.
If that is ok then providing the wiring is ok it looks like it will be a new high pressure fuel pump as it comes with the regulator on it.
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