Salt Lake City is very clean and safe relative to other large cities. There isn’t any place I really feel unsafe except maybe some areas on the west side such as Kearns, Rose Park, and parts of West Valley. Unless you were looking for cheap housing there probably wouldn’t be anything for you out there anyway.
Here is the locator for the state liquor stores.
http://abc.utah.gov/stores/index.html
You won’t have any trouble finding alcohol. Just plan ahead because most of them close at 10pm, some close at 7pm, and all are closed on Sunday. There is also no shortage of clubs, and restaurants to get drinks at, and beer is available anywhere.
If you are driving I would consider bringing some from home. When I travel out of state I am amazed how cheap liquor is without a state run monopoly.
I don’t get out much anymore so I don’t have any advice for what to do for spring break activities, other than the fine local women. Utah really does have attractive women, and I frequent hear visitors comment on the quality.