thanks.
the soilpipe looks satisfactory. Do you have any visible gullies where rainwater downpipes or the kitchen sink enter the drains? Are they made of brown clay?
have a sniff round the airbricks. You can use a joss-stick or smouldering cigarette to see which side of the house the draught enters, and which side it exits.
I can think of a couple of possibilities
maybe the upstairs or downstairs WC has a leak in the trap or connector, at the joint or in a crack. It might be leaking into the floor un-noticed. Put some food dye into the cisterns (different colour in each) and look out for any stains.
or
maybe there is some blockage in the soilpipe, probably near the bottom. this is easier to check. Lift the manhole cover. is the pit empty? Get someone to flush the upstairs and downstairs WCs in turn. Does the water from each emerge swiftly into the pit, running quickly into the exit pipe, and dying away in ten seconds or so?
Depending on the age of your household, blockages may be toys, wallets, disposables, wet-wipes, sanpro or kitchen roll.
you can probably winkle up the lid by inserting a garden spade into the crack on one side, lifting it a fraction, then another spade on the other side. If it has oval lifting holes, you can use manhole keys
short
www.screwfix.com/p/monument-tools-115mm-manhole-keys-pair/14087
or long ones for heavier lids (measure the holes before buying these as some of this type are bigger for heavy iron lids)
www.screwfix.com/p/rothenberger-520mm-manhole-key-with-extended-handle-1-key-supplied/9638k
Slide the lid over the ground, no need to lift it up. Replace it after you have looked, to avoid anyone falling into it.