The rest of your sentences are in the past tense so it is better to drop the "has" here. Another possible way to write this sentence is: "My college life taught me about working with other people on (or "as") a team."

 
College courses required me to work with a team on class projects.
I had many chances to make films or records the music with my team.  

"Record" is the past tense. You are using "music" here more generally, rather than discussing a specific piece of music, so it does not need the article "the" in front. 

I learned how a team of different people communicates one another and how they handle stress with humor. 

"Team" is singular, so the verb which goes with it must agree. Prepositional phrases like  "of different people" should be ignored when deciding how to conjugate the verb. People communicate, but a team communicates. "People" is plural, while "team" is singular. 

The "they" I highlighted is grammatically incorrect, even though many native English speakers commonly would use it this way as well. The pronoun "they" is referring back to "people"; however, it should actually be referring back to "team" in the previous phrase.  "Team" is the main noun of the phrase and is singular, so the pronoun must also be singular. It would be more correct to write ... "and how it handles stress with humour," since a team is singular and does not have a gender. However, since we are talking about people, using "it" feels wrong. I would probably write "and how people handle stress with humour" and avoid that problem. 

Tell me about your experiences at college.