Bella,

Often plants, esp. woody plants, through up suckers when the plant is
suffering in the main stems/leaves. These are often the plant's insurance
that it's genes will continue in the pool. You could try repotting the hole
root ball. As you do clean the compost away and see if you can separate the
new suckers/shoots with some healthy roots. This will allow you to get
several plants and reduce the chances that, if a disease is harboured in the
compost, the new plants will suffer.

Neil Faulkner
www.conceptgardens.com