First Misunderstanding
Who was the sender? [Writing suggestion: Unless in a quote or a title, avoid rhetorical questions in academic writing. A good idea is to provide answers, not questions] Me (Daniel Diggs)
Who was the receiver? An employee that [Check word usage--If this word refers to a human being, people are never "that" or "which," they are "who"] I [Avoid use of the first person (I, me, my) in academic writing unless writing about a personal experience. First person use may be allowed by the instructor. ] am responsible for supervising, we [Use "we," "us," or "our" to mean yourself and coauthors, not general humanity (or yourself and the reader)] ’ll [Contractions are inappropriate in academic writing--write it out] call him Joe.
What was the message? The tasks that I needed Joe to complete while ["While" is accurate in linking simultaneous events (meaning "during"), but if that is not the case here, use "although," "whereas," "and," or "but"] I was on vacation.
What channel was used [The passive voice is a form of "be" (was) and a participle (used). Over-use of the passive voice can make paragraphs officious and tedious to read. Prefer the active voice. For example, passive voice = The paper was completed on time. Active voice = the student completed the paper on time. See Center for Writing Excellence > Tutorials & Guides > Grammar & Writing Guides > Active & passive voice] to send the message? Face to Face [As an adjective, the previous three words are one hyphenated word] [these three words are spelled as one hyphenated word] communication
What was the misunderstanding that occurred? Joe completed all [Writing suggestion: "All" or "all of" used as an intensifier very often can be removed with no loss of meaning] the tasks, but not [Remove comma (if the following is not an independent clause or last element in a series)] in correct order. Two bills were paid late as a result of this.
How could the misunderstanding have been avoided? I needed to give Joe clear deadlines, which I did not. I assumed he knew the due dates since [Check word choice--"Since" is more precise in referring to time (meaning "after that"); otherwise use "because"] he had done this before.
What did you [Eliminate second person (you, your) in academic documents and avoid addressing the reader directly. Prefer third-person pronouns (he, she, they, it)] learn about the communication process from this activity?
I learned that you [second person] have to communicate clearly and thoroughly, especially when it comes to [Writing suggestion--Since "it" is undefined, "when it comes to" often can be reduced to simply "concerning" ] things business related. Mistakes can be made [Passive voice ] from just a slight miscommunication. Though the mistake was slight, the penalty for those late bills was not.
What seemed to be the main causes of the misunderstandings?
The main caused seemed to be myself. It was my fault. I should have never assumed Joe knew what day to make the payments. I should have been clear in what needed to be done [Passive voice ] as well as when it should be done [Passive voice ] .

Second Misunderstanding
Who was the sender (Professor)
Who was the receiver?
What was the message? For my team to collaborate on a team charter and then [consider removing "then"] have one member of the team submit the work.
What channel was used [Passive voice ] to send the message? Email [The preferred spelling is "e-mail"]

What was the misunderstanding that occurred?
I thought I needed to submit my own charter, as well as [No comma before "as well as" (which means "in addition to" and is not a conjunction the equivalent of "and")] have a one team member submit a collaborative copy of the charter.
How could the misunderstanding have been avoided? I could have fully read and understood the instructions before submitting my personal charter. If I had a question I should have presented it to the professor.
What did you [second person] learn about the communication process from this activity? Simply, if you [second person] have a question, ASK!
What seemed to be the main causes of the misunderstandings? The main cause of this misunderstanding was me not taking the time to fully understand what the assignment was beforehand.