Yes. That's an offense that you'd have to say "yes" to being charged with a criminal offense on a job application, even if you only received a fine. It's usually just a misdemeanor, though.
In most NATO countries, yes, and, yes. A misdemeanor. Even third world, if you don't bribe the right people.
And, even a charge, if dropped, stays on record. You only have to declare Convictions on job apps unless they do an NCIS check on you, only a few will. It can be expunged, especially if dismissed.
REF: Have charges, working on getting them set aside. Normal background checks may Only ask for Convictions Unless applying for a cop job, spooky US gvt. job that needs a clearance, or public teacher or the like.. NCIS checks cost and requires a court order, courts won't just hand records over unless potential employer has a good reason.
Pay the penalty and there'll be no criminal record. This will not show up on even an enhanced CRB disclosure. Your dad is kind of right about it being on some kind of record but it's not the sort of record that anyone can access so don't worry. I know an ex-cop who was cautioned for a deception offence and sacked from the force having been arrested in her uniform and kept in the cells overnight. She recently got a job at the DSS and her caution didn't show up on her CRB check. That's loads worse than your fixed penalty. You have a clean record and are of unblemished character as far as the law is concerned. That's part of the reason why FP's were invented in the first place - it makes it look like there are fewer convictions in the UK (politically useful) and keeps the costs of running Courts down (fewer people need to be employed). Respect to your dad, he's clearly brought you up right. There's nothing wrong with a bit of fear. Just treat this as a warning shot and try to keep it in mind for future nights on the lash!