Do all spring races have a marked lane/course?
Not all of them do. Duels smaller regattas tend to be on open lanes, meaning there are no buoys marking the course. At larger regattas there are almost always buoyed lanes and markers every 500m, which smaller regattas may or may not have.
If you know the races you’re going to, do some research online to see what the course looks like. Social media is a good place to search because there’s tons of photos that’ll give you an idea of how things are set up. If you can’t find anything that way, talk to your coach or some of the varsity coxswains on your team and see what they say.