I saw this anime and it's been so long i don't know what it was called... All in japanese

[Raven137]

He went into what i believe was a hospital, and goes up to this one room. he enters and is shot by a woman who is on the bed to the left of him... but then at that moment, he reversed time so he had;'t entered yet, and then he waits a little longer, (i forget if he had a gun as well.) but when he enter's (if I'm right and he had a gun, than he shoots her) but she goes out the window and is gone...
does anyone have any idea what this is called...
another time, he time travels too much and his eyes start to bleed... i remember him pulling up in a black car and his (girlfriend?) gets in , and then he pulls down his black shades to show her his bloody eyes...
does anyone have any idea what this is called...