1) Your agent should have submitted your written offer if that's what you instructed them to do. Agents are only representing you, they are not calling the shots.
2) If your real estate agent and the listing agent are both Realtors, then they should know what the Code of Ethics states about offers and the submission of offers which are covered in the Standards of Practice.1-6 an 1-7.
When I represent my clients, I don't shirk my fiduciary duties -- one of those affirmative duties is that of "obedience." If you didn't instruct your agent to submit an offer, it's on you.
Doesn't sound like the used car business to me at all -- and unless you can justify the blanket remark and actually correlate references to substantiate that, it's meaningless. It does, however, sound like everyone involved in this are clueless on how to practice real estate.