First, you need to verify that the wheel speed sensors on the corners
indicated by the codes you had present are functioning normally. This
includes, checking for chaffed wires, inspecting the sensor head for
debris, checking the sensor rotor for damage or debris, and if possible
make sure that you are getting a nice AC waveform from the sensor
connector when the wheel is spun. The codes you mentioned aren't as
shotgun as you think, they all seem to be pointing toward the fact that
the speed sensors aren't able to get a consistent signal.
  The reason the ABS system engaged while you were driving is because the
computer perceived different wheel speeds while braking and activated the
system. Another cause of this on earlier systems is different sized tires
due to wear. This can cause a difference in wheel speed and confuse the
ABS computer.
 As far as the radio, check the basics first before you go hunting some
bizarre correlation between these two unrelated systems.