Someone who avoids responsibility is a shirker.
Goldbrick refers to someone who is lazy or avoids work.
Recluse means a person who avoids other people and lives in isolation.
responsibility
The word dutifully means "according to your duty or responsibility."
The word responsibility is a noun which means liability, charge, obligation, duty, trust, or accountability. The word accountability is a noun which means liability, charge, amenability, blame, trust, or responsibility. Example sentences: I had the responsibility for ensuring that all patients' records were kept accurately. I accepted accountability for the patient's records that were misfiled.
The base word of "responsibility" is "respond." The term "responsibility" derives from the Latin root "respondere," which means "to respond." The prefix "re-" and the suffix "-ibility" transform the base word into a noun that signifies the ability to respond or be accountable for one's actions.
Emancipate.
avoids,avoiding
There is no such word, however if you transposed the letters dodge means to avoid something, whether responsibility or an attack, or to get out of the way, or to duck.
It means that he's nervous and is shy to talk to you.
The more accepted term is "irresponsible," which means lacking a sense of responsibility. "Unresponsible" is not commonly used in English.
Leadership means responsibility. It's adventure and often fun, but it always means responsibility.