Matt, you're in the UK and you won't find Neem, its not listed as an acceptable insecticide here. What you will get though, if you haven't already, is a bottle of methylated spirits, although its not intended for use on plants. Take some disposable cloths, moisten one lightly with the meths and rub it over the woody trunk and branches to remove any scale - check the fence behind, they may well be on that too. Throw away each cloth and use a new one once its mucky. Take care not to get the methylated spirits on the leaves. Rub over the areas you've cleaned on the plant with a wet cloth afterwards, just wet with ordinary water. You should not need to do any special pruning to control the scale - this particular form of the insect does not affect the leaves.
And, as someone else has said, try to remove that wire...