Yes, these types of citations / infractions generally are taken care of with a fine. The fine is set by local or state law, so it may very well be $500 - that was one expensive drink!
Yes, if an employer subscribes to and checks certain background services for job applicants then it will show up on your report, at that point is up to the employer to decide if they wish to proceed with hiring you or not (each employer sets its own policies as to what eliminates candidates and what does not.) Depending on the federal policies in place at the time you apply for a work visa, it may also impact your ability to be approved for a work visa.
Pay a lawyer and fight the citation is an option, you decide if it is worth it or if you want to risk it.
Disclaimer Information on this site is provided by Brian Scott Wayson as general information, not legal advice, and use of this information does not establish an attorney-client relationship. If you have questions about your specific situation, please call an attorney.