Look up any drone footage of Beachy Head, that might give you an idea of what to expect.
Yes, the area up on the Downs is beautiful and peaceful. Many people do visit, you get a mixture of people. Hikers, dog walkers, day trippers, they're often the people you see desperate for that edge-of-cliff selfie. A Japanese woman did fall to her death whilst taking a selfie!
As someone else said, between the lighthouses is the guaranteed place. There are no shelves to land on.
You might end up with life-changing injuries which would make your life even harder and more challenging than it is now.
The fact that you did all of those things above - take a taxi, sat in the pub drinking alone - would have immediately marked you out to them all. Chaplains, etc.
No doubt before you even got to the pub, the taxi company would have alerted them. I think they have some kind of code to highlight a possible suicide.
Were you sectioned and if so, how does one release oneself from being sectioned?
What were the Chaplains like? In my experience of Church of England people, they come across as being very judgey and sanctimonious.
I doubt you would be able to get the words out in time.