Speaking of that junction London Rd/ HR Road... maybe even phasing the lights properly would be a good start. The switch from one to the other is far to fast, hence the number of collisions.

I do agree with that though, there should be a pedestrian facility somewhere. However I think the smaller crossing a few yards further back onto London Road is the chosen route that has been "given" by Lewisham or TfL.
Possibly the thinking on this one is to discourage pedestrians from walking up past the entrance/exit of the busy petrol station, which in itself is quite dangerous.

Inconvinient I would agree, but safe things usually are