Looking at the documentation provided and google maps, trees with numbers 3/4/5 should need prunning only.
Tree 1 which is said to be causing damaging to the shed and house needs assessment by council to see if it really needs to be removed or if it can just be pruned. It is disappointing to see trees just being removed for the sake of structures.
Tree 2 should be left alone. I don't understand how a tree can be causing damage to the grass. This reason does not make sense to ask for its removal. Very dissapointing.