I know nothing about usage of the word order (except that the ordaining process is a sacrament called Holy Orders), but I can address the first part of your question: what is meant by order (as opposed to jurisdiction)? The answer is that there is a hierarchy of functions or roles in the church's offices. Some offices allow the ordained person to do more than others. An acolyte (candle bearer) doesn't have much functionality, a deacon has quite a bit. It's like the army, where a general has more authority than a sergeant, and a sergeant in turn has more authority than a corporal, who in turn has more authority than a private. But at each step up the ladder of authority, you don't give up any of the power you previously had, you only take on additional responsibilities. Some of these functional differences arise out of divine mandates, others arise out of ecclesiastical discipline. Order deliberately says nothing about any territory you are responsible for, that's where jurisdiction comes in.
Jurisdiction applies only to the higher functions (orders) of offices (priests and bishops) because the lower offices don't have any territory associated with them. Territories are divided up into parishes as the smallest unit. These are grouped into deaneries, the deaneries are grouped into dioceses. Some dioceses are more important than others, so the lesser dioceses report to archdioceses. There may also be groups of dioceses corresponding to national levels or language usage. In the United States, the highest governing body is the USCCB (United States Conference of Catholic Bishops). In other countries there may be an individual archbishop, called a primate, in charge instead. Each of these levels of territory has a corresponding level of officeholder in the church hierarchy that is in charge of that territory. The highest jurisdictional office, is, of course, the pope who has universal jurisdiction. In terms of order, though, the pope is just a bishop. There is no order difference between an ordinary bishop, an archbishop, and the pope. The highest rank possible in terms of order is a bishop because he can do everything a priest can do, plus he can ordain priests and other bishops.