I was able to build, flash and get a replicant image up and running on my gt3113. The recovery mode does not save a viable backup. Restoring to that backup gives me an unusable tablet with a black screen. Using recovery mode and reverting back to the backup that I stored months ago with the Cyanogenmod recovery image made when I was trying to use CyanogenMod worked.
Please provide logs of the creation of the backup (should be /tmp/recovery something after creating it) and a logcat of what happens with the blank screen (if possible). Normally, our recovery is the very same as CyanogenMod's, so I don't really see what I can do here.