As far as I know, they are both correct.
"I am your friend and am seeking your help" shows that your thought continues just as you would use and to connect other words. In this case, the first pronoun represents the missing pronoun, so you cannot precede and with a comma.
"I am your friend[,] and I am seeking your help" needs the comma because they are separate sentences.
I have read where educators or grammarians state that if the succeeding sentence is short, a comma is unnecessary. For consistency and to avoid confusing my students, I prefer to use the comma before any coordinating conjunction.
Therefore, the same thoughts apply to your remaining sentences.