I also have these same 2 codes. I have an 04 ltd that goes berzerk until fully warmed up. When I start it the first time for the day, after 1-5 min, the spoiler raises, speedometer quits, brake light, check engine light, etc (BAS & ESP light has been on now for several months) come on and trans is put in limp mode. Once the car has warmed up for 15 min or more, turning it off and restarting clears the problem until the next day (days are not that cold in Calif). My code reader shows P0720 & P0600 and I delete them and of course they come back the next day I start the car. I already tried replacing the (original!) battery. Anyone else resolve this issue or have any ideas? Help would be greatly appreciated