I am doing a count four red and one black. Now cables are either two reds or red and black so something wrong with count.
Standard method with switch is permanent line to switch and switched line return i.e. no neutrals however with outside light common for neutral to go into the switch and use a double pole switch so once switched off there are no issues with earth - neutral faults and tripping RCD once switched off.
I would guess somewhere it's down to a missing neutral. It's not uncommon to find outside lights wired in series with some inside light where some one has used a switched line as a neutral by mistake.
So step one is better drawing where there are rings around the wires forming each cable so we can see how they are related.
There are some obvious errors.
1) You show centre switch as being two way but bottom switch has the three wires required for two way wiring.
2) You show line linking all L terminals together normally the two way switch will have line to L1 or L2 not L.
Although school boy wiring of two way is like this
this is rare in practice and would require some connector block in the switch. So what is normally done is this
you will note how I have drawn circles around the wires found in each cable.
However as you can see this needs three wires between the two switches. Before the days of loop hearing aids, wifi and cordless phones it was common to borrow the live from another switch. This can produce mains hum so is no longer done but still found in old houses. Since you show links I would guess this has happened with yours.