OK, lets summaries what we've got so far. The house is built on a slope, front to back, with the drain run wrapped around it' footprint, left - right, as per on your drawing. What I don't quite get yet is the direction of flow, but using my experience I can assume ~ the drain run starts (your property) at the existing mono pitched garage roof rain water downpipe. From this it flows to the NE corner of the building where it turns S 90 degree, along the E elevation to a manhole, from this it heads out to the main sewer in the street passing a rodding eye on it's way (the last connection? )
Are you simply wanting to replace an existing mono pitched, prefabricated concrete garage, with a purpose built twin pitched roof garage?? with sink connection (needs location on dwg) ...pinenot