Cowl- I didn't use a pattern. I cast on 22 stitches using worsted weight yarn on size 8 needles. Knit two rows of alternating colors in garter stitch. When it measured 21 inches long, I switched to stockinette, put in button holes by casting off a stitch, three times, then cast back on the stitches on the next row. Very simple and quick!
Hat- I used the child size (pattern offers every size imaginable) of Luuk, by Annis Jones. I can't say enough how much I love this pattern. It's soooooo cute! Also, super fast to knit and hardly used any yarn. The only modification I made was to use a contrasting color (blue) for the last knit row and all purl rows in pattern. http://www.ravelry.com/patterns/library/luuk