I am subjective cause I'm rooting for the Technologists, however, the Analysts said "Decision Point" while the answer was "Decision Points". Somehow in this case Mrs. Coren-Mitchell didn't care, even though in earlier shows she even refused to accept answers that had different vowels while consonants stayed correct. Splendid.
No, the scores are correct. The Analysts start the final round with 14 and get 5 right (14+5=19), whilst the Technologists start with 11 and get 8 right and 1 wrong (11+8-1=18).
He did find the ring, but he officially isn't a ringbearer. Also other characters briefly touched the ring (for example Boromir) and they also do not count as ringbearers. The ringbearers are (in order) Sauron, Isildur, Smeagol, Bilbo, Frodo and Sam.