When you're apartment shopping in smaller cities, you need to look at what cycles are driving people to move in and out of apartments. In Salisbury, the University is a large driver of population fluctuation in the town. This means that summer, when graduates are likely moving to bigger centers in order to find jobs, is the best time to look for an apartment.
Putting together an application for an apartment shouldn't be intimidating. If there is anything that you don't understand in the application, just ask the landlord rather than guessing and completing something incorrectly. Landlords are typically understanding of renters without a lot of experience filling out these types of applications, and should be happy to help you out.
Salisbury actually has a high quality public transportation system for a city of its size. Shore Transit has bus service that allows commuters to utilize both within the city, and within the immediate outside area. However, with so many great cities within a short drive, having a car can really broaden your horizons in Salisbury.
Many people in Salisbury head into the nearby larger centers to seek their entertainment. In town, the best shopping is at the Centre, which has the typical mall stores with a large Macy's anchor store. The Market Street Inn has some of the higher end food in town. Salisbury has also embraced the craft beer movement, and you can try some local brews and food at the Tall Tales Brewery or 3rd Wave Brewing Co.