So I cleaned the fuel shutoff connection and even took apart and cleaned the intake air temperature sensor for good measure. Then I had a look inside the "computer box" which sits where the battery would normally be in another car and I took the attached picture. I saw a K1 relay there, but not a K40. There is a piece of hardware that has 3 fuses on it, including a 10 amp one but the housing isn't silver. I'm going to drive the car again tomorrow and see how it goes. In the meantime, what are your thoughts on which piece of hardware is the suspect?

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2004 VW Jetta TDI (manual)

Past MB's: '96 E300D, '83 240D, '82 300D, '87 300D, '87 420SEL