|An FBI guy with a way to find the scenes of crimes and see the future can make for a really interesting story! Here, the end is a little bit easy to guess. I wonder if you might make his gift grow from "mostly wrong" to at last being right at the end. It could grab and hold the reader's interest a lot better. :)
Your writing is good, easy to read! Good grammar, clear, nice pace.
The only issue I see is lots of passive phrases. Active ones create more interest and keep the reader engaged better. Any time you have a phrase with "was/is/has been" followed by an "ing" word, you might make a change to a more active one. Example: "He was watching TV" is passive, while "he watched TV" is active.
Also, other "was" phrases can be changed to flow better, like "The light was dim as he walked down the wooden stairs" could be "He walked down the dimly lit wooden stairs." The action comes first in the second sentence.