Hello Mika.. how long guy.
Mika, same if you don´t want be a leader (head of your team) it can be an inevitable destiny if you have leadership vocation. Anyway looks that in your job people does not have roles. For example, in a soccer team every player have a specific function with its responsibility and importance (employer), they know exactly what he have to do for the team (company). This allow him to train and focus on what he should do best (roles and taks). They know what his co-work do and sometimes he can change position if necessary. Everyone do his best for the team win the game.
I think that in a company is the same. Maybe something practice you can start to do is simply organize yourself making a list of all task you have to do and put it in order of priority (you can do a dashboard post it see attach with my own dashboard). After you can suggest for others to do the same. Little by little people will see the benefits and listen you with more attention.
PS. Google for "Agile methodology" that you will find more about dashboard post it
What do you think ?
Take care
Ed.