If you have mould growth then it needs to be removed first. Installing external insulation can be expensive, and although it will make your house warmer and airtight, the existing mould growth still needs to be removed.
I would look at repairing the internal dry lining first, especially where you are having mould problems. Mould killer needs to be applied to the infected areas behind the plasterboard. Sufficient insulation, vapour barrier, plasterboard and final skim should then be fitted.