Job offer was rescinded after leaving another job leaving me jobless

You state that your job offer was rescinded after you left your prior job. As long as you did not leave your prior job before you were offered a new job you should recover unemployment benefits. Unfortunately most employees do not enter written or enforceable "term" contracts of employment. That type of contract is for some specific term of employment. For example, for one year or unless you are fired for good cause. Most employees are "at will" which means that their employers need absolutely no cause at all to fire them. Unions protect all of their collective members with a contract called a collective bargaining agreement and government employees have civil service protection. Most other employees across the entire USA are "at will." No union, no contract. Apply for unemployment benefits honestly and in New York you should be able to collect them. Of course, if the driving record was affecting your prior employment and you were facing potential or actual consequences there that will require finding an unemployment insurance benefits appeals awyer to see whether you can secure benefits assuming you might be denied. Although sometimes, honest applicants squeeze in. Good luck.