There is a lot of room for misunderstanding and misinformation in these threads where there is a third party doing the work, that being said I would really look for a different shop at this point. For example, (and I'm not saying that is for sure the problem but) "visually inspecting the exhaust" is meaningless as well as a picture of the fuel pressure gauge. Not being able to post all the codes and descriptions does not help.

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1988 325is (purchased new) sold
2004 X5 3.0 2005 X3 2.5
2008 X5 3.0 (new to me)