Sonny, what an unfortunate coincidence... Same exact story for me. I just bought a 2005 spider and with less than 30 minutes of drive time after being delivered, I got the same error codes as you and the manettino limits me to ice and wet modes. I don't want to hijack your thread, so I'll just watch and update if I find a fix.
My salesman suggested that I lock the car with the remote, then wait 10 minutes. I tried this and it did reset the alarm, but it popped up a few minutes later. The other question he had for me was if it was hooked to a battery tender. It was not. I took delivery on 4/28 and flew out the next day for a week long vacation. Got home, drove it and the errors popped up. I connected the battery tender and am going to give it a another try after 24hr. I may also try a new battery.