Can I have a barbecue?

Although the lease does not specifically mention barbecues, it does prevent you from keeping anything flammable in your flat, and from doing anything which will cause the buildings insurance to be void. Barbecues on terraces would certainly be a fire risk and could invalidate the buildings insurance. In addition to the danger, the smoke and smell would cause a nuisance to your neighbours, which you agreed not to do by signing the lease. The central garden cannot be used for barbecues as the lease points out it is for rest and quiet recreation only.