Ceiling fan and a switched outlet.

I have searched the forums but can't seem to find the same wiring situation as I have. The ceiling fan wiring used to be surface mounted and plugged into a switched outlet. I ran a 14/2 wire through the ceiling and then into the back of a new plug. Everything works fine except for the fact that if I shut the light off then the fan goes off as well as the wall switch.... hmmmm never thought of that. One other issue is that the bathroom wall plug no longer works. What I would like to accomplish would be to have the bathroom plug working and to be able to keep the plug that the fan is connected to always hot. In addition be able to turn the light off while keeping the fan on. Going into the switched outlet at the top there are three wires a white, red and black. plus the new 14/2 cable that I ran. The original wiring has the white going to one side of the plug the red to the other and the black is pigtailed to another black that goes out the bottom of the box, On the bottom of the outlet there is a white wire connected and that wire goes goes out the same place that the pigtailed black wire goes (the bathroom plug?) The bottom back of the plug (the end with only a white wire) is where I stuck the fan wire into. Any help would be appreciated.