Hi,
I'm answering quite a bit late. Yes, you can move an image from one patient to another. For that, you have to go in the browser area, in the local database of medinria. There, you can create an empty patient and empty study. These can then be renamed just by clicking on it and typing a new name. Once your new patient and study are created, you can drag and drop the image you want to move to its new destination.
As for eddy current correction, it is not in medinria yet, but you can do any processing you want outside of medinria. As long as your data is in a regular ITK file format, medinria will be able to read it.
Olivier