I repair vacuum degassing units on a regular basis and am very familiar with the two Agilent models so have a few comments.
*Basically, if the red LED comes on, you have a problem. If it does not come on, then the unit is operating to the manufacturer's specification.
If as you say you have correctly bypassed all of the internal tubing and connections to isolate the vacuum pump and sensor in the G1322A degassing module, then YES the vacuum pump should be replaced. A reading of 900 plus mv's must turn the RED LED on at this point. The chambers and solenoid are not the problem. You should be able to obtain a very low reading (below 610 mv) with just the pump connected to the pressure sensor (assuming the sensor is working correctly). The degasser goes through a series of error modes. The red LED will come on when the system is unable to obtain a vacuum reading below 800 mv during the initial phase. The yellow LED goes OFF when the value drops below 800 mv's (when you first turn it on, it is around 3.5 Volts). I won't go into the other error modes as your system appears to have failed at the first stage. A red LED always means the on-board diagnostics have detected a serious failure. If no red LED is shown (after at least 30 minutes of operation), then the unit is fine. The on-board diagnostics of the degassing modules are rather good. Use the AUX output to monitor the voltage.
*One other thing you can do is to put the system in 'continuous mode' operation (SW1 ON). This makes the vac pump run 100%. Check the output under these conditions to see how low it can go and hold it there (in mv's). In real life, the solenoid normally switches the pump in-line when the vacuum rises above ~610 mv's, but since the pump is 'ON' 100%, the solenoid valve just stays open and the pump pulls all of the time. This mode provides maximum degassing performance so if your degassing unit works fine in this mode, then the pump is probably weak or you have a leak somewhere else. If it runs w/o a red LED, you can use the system in this mode until something finally fails.
How old is your degassing unit ? They will all break down at some point and need replacement parts. We often see units which have been used daily have one part fail after 5-10 years of use.