You do not need Premier since you are already using the SE program ...
To enter a K-1 go to
Federal Taxes Tab ( Personal in the H & B or SE versions )
Wages and Income
Choose Explore on my own or I'll choose what to work on (if it comes up)
Then scroll way down to Business Items
Schedules K-1, Q - Click the Start or Update button
Be sure to pick the right kind of K-1. There are 3 kinds, 1041, 1065 & 1120S