Please check these morphemes' divisions.

1)mice -/mice/ (1)
2)sitting - /sitting/ (1)
3) punches - punch/es (2)
4)runners - /runner/s/ (2)
5)firefighters - fire/fight/ers (3)
6) Automobile - auto/mobile (2)
7)Chart - /chart/ (1)
8)horseshoe - horse/shoe (2)
9)sees - /sees/ (1) I'm not sure if I should take s as another morpheme in this case
10) seeing -see/ing (2)
11)saw - /saw/ (1)
12)saws - /saw/s/ (2)

3 answers

Be sure you're clear on the differences between morphemes and phonemes:

http://en.wikipedia.org/wiki/Morpheme

http://en.wikipedia.org/wiki/Phoneme

1. correct
2. incorrect
3. correct
4. correct number, but incorrect division
5. correct
6. correct, I think
7. correct
8. correct
9. correct ... and I'd not count the final -s separately
10. correct
11. correct
12. incorrect, I think
My professor gave an example: cats - /cat/s /(2 morphemes). And said the s is another morpheme.
Is sitting - sit/ting ?
Is runners - run/ner/s?
With that explanation, then yes, the last ones you listed are right.