Excellent! One of my favourite areas for walking!
I live about 30 minutes drive away and usually park at Samphire Hoe, which is a fantastic spot below Shakespeare Cliff and reached through a long tunnel through the cliff. Your final photo towards the harbour appears to have been taken as you descended from the clifftop along the North Downs Way.
I love the high path that looks down on the Warren; it's one of the most scenic paths I know. I don't know if you've done it yet, but actually walking through the Warren is quite an experience and the paths at either end to the clifftop are extremely steep!