Now this is what I know more than cars!
Yep the plant ID's are right on the money but to be honest it should dig out easy as. Sharpen the spade up and get to work.
If you are lazy, applying the roundup or glypho will be like weeing in the ocean to make the sea level go up.
Go get some blackberry, tree and woody weed killer. The product needs to have an active constituent called Triclopyr.
Apply it to the entire shrub and don't go cutting it back. The more foliage on it, the effective the result. The leaves will absorb this stuff and absorb it at an even greater rate if you mix a cap of seasol (it works far better than urea).
Spray in the morning so it has the entire day to absorb into the sap stream and be pumped through the entire system of the plant. Be careful of surrounding shrubs, so cover them with some tradies plastic.
Don't spray when it is windy and because the leaves are very waxy, two or three drops of dishwashing liquid will do to help your spray stick to the leaf (a surfactant) and be absorbed by the plant.