Mac Recovery Mode Corrupted?
If you suspect that your recovery partition has corrupted data, you can use Internet Recovery (hold OptionCommandR or ShiftOptionCommandR, which will download the Recovery partition from Apple servers and see if you have same issues. See: HT201314.

However, I think that it is more likely that your Mac has a problem with the video chip, RAM or screen. I suggest you boot your Mac in Diagnostic mode (hold D or OptionD at startup) and run the battery of tests which may reveal a hardware problem, if it exists. See: HT201257