Absolutely no need to employ any consultants, happy to advise you on here. Building Control fee is payable regardless, I would do a mock up of your proposals and let Building Control advise you what they'll accept. (They may want to inspect prior to backfill.)
I'm not sure where the existing gulley is in relation to the chamber, but personally, I'd relay the entire run in a straight line from the spigot left coming out the chamber to the existing gulley position. It'll be easier to work all the new stuff in plastic then making several connections to/from clayware.
Then join on your new WC connection at an appropriate point, as per your first diagram but come out the house with the access bend, then go straight down to another 90 to bring you back onto the horizontal plane and across to join the run into the chamber. If there is sufficient room then put a shallow access chamber on the connection instead of a junction for belt and braces approach.