Fcuk me!!! As soon as I seen it, I knew tgeat house was on this island! I've heard about your situation but never seen pics as bad as yours. IMO, there's only one 'right' way to deal with this and that is to take all them block down and redo it. If you go sticking EWI over it, yes it might do, but one day your EWI will crack to and that's an awful amount of money wasted. Take it down, redo it and you'll be able to sleep well at night once its fixed. O and don't go buying them blocks of the same cowboys, find a decent block supplier and do it right.
P.s, going by your 2nd pic, make sure you get a plasterer who knows how to mark out right size coins when rendering your walls again. They look awful to me, to thin and narrow for my liking.