The first thing you should put on your job acceptance letter is the date. Include it underneath the header close to the top of your letter.A sample letter offering a job contingent upon the results of a background check or other criteria. Employment Offer Letter Instructions. Knowing how to accept a job offer is key. Thank the recruiter, review the offer and follow up with questions and a counter offer before accepting the offer. This letter serves as an offer of employment to you for the University Support Personnel System position. Or could be they just have a backup candidate they want to get back too. If I were answering this as an abstract hypothetical without real-world consequences, I would say: 1. For an employer, there are very few feelings that compare to your favorite candidate accepting one of your hard-to-fill healthcare opportunities!