
Yes, some cutting and pruning is needed, but in your place I'd think about it long and hard. And watch out: the Leptospermums are REALLY sensitive shrubs and you don't treat them the way you do a Chinese elm. Which species is this? If it is the Leptospermum scoparium, or Manuka, repotting is very, very risky (no kidding!), because they react quite badly to root manipulation. Other species are much easier, like the Leptospermum petersonii, or lemon-scented tea-tree. Don't repot unless you have to, and certainly not if the little tree is doing well in its present environment.
Generally: get to know the characteristics of your tree before you do ANY work!
And THINK BEFORE YOU CHOP!
Lisa