Student or Learner
I have two questions.
1. I wonder if "I" can be omitted in the next sentence.
I am hungry and (I) missed lunch.
2. I would like to know if there is any difference between "a" and "b".
a. I am hungry and missed lunch.
b. I missed lunch and am hungry.
You may omit the I in the second sentence of the first example.
In the second example, "I am hungry and missed lunch" says that you were hungry already and, dammit, you missed lunch to boot! ("to boot" = "in addition"). You are really hungry now, and you'll just have to wait till dinner.
"I missed lunch and I am hungry" is cause and effect. You are probably hungry because you missed lunch. You were not necessarily hungry earlier; perhaps that is why you failed to stop for lunch. So, now you suffer the consequences.
Pack a sandwich tomorrow.