The last thing we saw from her accident was that he saved her after jumping into the river. But in episode 8-9 we saw a different version. And now in episode 9 we saw that the taxi driver knew that the police were looking for him but set the place on fire, something that we know did not happen originally.
Also, in the present time, we saw almost every character but Baek In Hyuk. Or well, I think we briefly saw him staring at her bulding. Which leads me to think that:
1- Baek In Hyuk is connected to what's happening, and
2- The taxi driver is also from the present, maybe even the future.
At first, I thought that her accident was a coincidence, but then we saw that the Taxi driver was specifically looking for her. Him being from the present/future would explain why he is so set on them.