I don't think you need be to concerned over the 'transit issue' your fridge has undergone. The fact that you turned it on somewhat prematurely before realising your mistake, then allowing a good time for it to 'settle' should be caution enough
Therefore I think your fridge should have settled down by now after 5 days or more. Its temperature control setting should have remained stable (especially if is an Electronic Control model) Running times can vary due to many differing factors, loading, amount of times door is opened, ambient room temperature and location the main ones.
I would suggest the only possible course of action for you now to take is to call in the manufacturers service department and get them to check it out for piece of mind.