" Video Stabilization (EIS)" is for video mode only. Electronic Image Stabilization increases the crop factor for video and uses the additional pixels of the sensor for electronic stabilization. That’s not working for images which need the full sensor size.
OIS is most likely enabled automatically based on the capture mode. In Logcat I see some errors regarding OIS but that doesn’t mean much …
I can get reasonable sharp handheld shots in with slow shutter speeds in “Pro” mode, which suggests that some kind of stabilization definitely is active.