Westminster Housing is Westminster City Council as housing manager. They oversee 21,000 homes, with 9,000 leaseholder and 12,000 social homes and the communities in which they are situated.
Luxborough Tower is managed by the Central Area Service Centre, through the Lisson Green Estate Office. See the Contacts page for the relevant contact details, and staff who deal with Luxborough Tower.
Westminster Housing regularly asks for feedback from tenants and leaseholders as to the quality of service. You can use their website (www) or contact the Service Improvement Team on 0800 358 3783. They have a Complaints Procedure which is explained on the website (home → online services → Make a complaint). There is also a network of Residents Forums who would be pleased to hear your comments.