Deedandee, good evening.
Your question first.
Are there any internal indications of a crack, which closely follows the render crack externally?, or is there a crack of any sort internally below the area of smooth render?
There are several other cracks in the smooth cement render one at high level near the roof apex, another [almost] horizontal crack running to the right from [about] the furthest out point of the curved crack where it deviates down.
OK Other things??
1/. No Building Regs? what about planning [if needed?] I would be wary?
2/. The lead flashing at the base of the smooth cement render has at least 2 cracks in it
3/. Down pipe has [shall I call it] interesting joints, looks like inventive use of "Flashband??"
4/. The flat felted roof to the front of the smooth cement rendered area of wall has what appears to be large horizontal cracks in the felt just above the rain water gutter, almost all the way across the roof
5/. The timber facia to the left of the flat felted roof is rotten.
6/. There is a hairline render crack between roof and window in the lower area of the extension. This crack is following the line of the Concrete lintel to the window, 99% probability thermal only.
Ken.