Hi Chicken, When you leased the house did you lease the area where the new building is proposed to be located, ie the back yard?
In other words is your lease subject to this development?
Do you have a written lease agreement?
Is the access to the rear work site past your leased house or is it from the rear of the property?
I think that you would have a right to security during construction.
Cant really comment until the facts are established.