Rolls

Hello everyone, I collected my first 350z recently, a car I have been eager to get for a very long time. However there are a few troubles with the car. It is misfiring bad, idling at around 2.5k RPM, then cutting out. The car is a 2006 import. It has had a non rev-up engine swap at some point. It is showing error codes P1078, P1084, P0078 and P0084. (Which relate to the exhaust vvt solenoids and cam sensors) I can confirm that the previous owner had it running properly with this engine fitted so I don't believe it is a loom issue. As the non rev-up VQ only has VVT on the intake side, any idea as to why these error codes could've popped up and how to resolve? Thank you all in advance, really appreciate any tips or ideas.