Then either do another row in the k1 p1 pattern, or start with row 11 and purl that row, one row off isn't going to matter.
"... the first stitch you do is the "right side""
Nooo, the entire row is the right side - and you knit the entire row. As I said, if you prefer the other side of the k p pattern to be the RS that's fine. After 9 rows, purl the next, knit the next and so on. It may help if you could link to the pattern you're working on.