Looks to me like you are mixing up the covalent counting method with the ionic method. Either is appropriate to use, but you can NOT mix them and use them both at the same time. I would suggest you pick one method, master it, and stick with it. I always liked the ionic method b/c it made more intuitive sense to me, but others like the covalent.
I'll use the ionic method....
First of all, the compound you are asking about has a minus 1 charge which must be taken into account. You have four anionic ligands (3 I-'s and an organic R- group). Therefore, to have an overall compound charge of minus 1, we must have a Rh3+. That gives us:
Rh3+ = 6 electrons (Rh starts with 9 electrons, but since it's 3+ it only has 6 now)
3 I- = 6 electrons (each anion contributes 2 electrons in the ionic method)
the organic R- = 2 electrons
2 CO = 4 electrons
The grand total is 18 electrons.
Yes, coordination number is simply the number of ligands on the central metal atom.