Hi,
you have to check data in GIS software. TB is not GIS tool and it can export wrong shape coordinates. Download QGIS and try import all your data into it. It looks like data aren't on the same place.
No, but you can vectorize surface mask.
Nope, Terrain Processor and Terrain Processor support only asc heightmap. You can use GIS to save GeoTIFF as asc