How my personality affects the way I handle stress is that I firstly get quiet and start thinking about all the outcomes of decisions that I'll make to handle it.I then take action and ask for opinions along the way and for assistance as I'm not shy to enquire what is necessary for me to know.
I think emotional intelligence skills impact communication in many ways. I think the foundation is to know yourself and your self worth. If you are casual and negligent you would communicate without thinking first and would communication with no sense or form of self respect if you know your self worth read the room and think before you talk and listen to others opinions carefully you would talk sense and even be clear in your communication that there is no unnecessary back and forth.
You can work better with people with different personality types by allowing them to embrace their personality listen carefully to their opinion and point of view and try to understand it even if you don't approve of it. People would feel more welcoming to communicate with you.