Yes, that's correct. "Each side" (in this context) is the same as saying "each end" or "both ends" (of a row).
Well done on spotting that you do the increases at both end of the row, it's easy to miss that and only do increases at one end of a row.
If the increases on row 6 and 12 are the only ones you can probably just knit them as they'll be hidden in any seams. If there are more increases, or hidding isn't an option, you may have to 'read' your knitting on that row and mentally work back from the established stitches to know how to work the increased stitches. Once you're on the next row they'll then become established as part of the patten.
Is Pretty Rhombuses the name of the pattern or your description of it?