For a proper assessment, you will need a report by a structural engineer, or a building surveyor - if he is able to comment on cracking without referring to a structural engineer. Not a builder, not anyone else.
For diagnosis, someone needs to look at the building and the external areas and form an opinion on the most likely cause, based on several factors. Anything else is guesswork. The crack is the symptom, and you need to know the cause first, deal with the cause, and then repair the cracking and plaster.
I would avoid contacting the insurance at this stage. Your insurer is there to minimise any payout and will give a biased opinion. But just by notifying them, you put them on notice and that alone could increase future premiums.