Yes and yes and awesome!
I haven’t done much designing for humans, but I’ve done a bunch of designing for dolls, and I’m quite proud of most of it. You can see the designs I’ve released patterns for on my Ravelry designer page. ^_^ My latest piece is still in progress - I’m testing out other sizes in preparation for releasing my first for-pay pattern (think of it! Threes, maybe even fours of dollars to go towards my hobbies!) hopefully sometime this fall (it was supposed to be September…then October…now I’m faced with a dilemma of either releasing an incompletely tested pattern and possibly needing to release errata, or pushing the deadline back as I test out the final size, neither of which particularly appeals). Here’s a snap from the first Finished Object, Ur-Bun #1 (modelled by Suzuha, Soom Mini-Gem Idrial, who is about the size of a Barbie).
Dyeing I haven’t done as much of. In fact, I just tried it once, because one day not long after I completed the above sweater (or possibly while I was in the middle of it?) I had the LARGE CONE OF LACEWEIGHT YARN next to where I was sitting with my coffee and yup, I spilled all over it, wrecking a bunch of this lovely pink yarn. Well, through the magic of food colouring, I salvaged most of it! Now I have a cone with slightly less yarn on it and possibly a few tiny splotches of coffee-tan, and also this little cake of awesome blues and purples!
It’s my intention to buy some KnitPicks Bare laceweight and try this dyeing thing out with a bit more forethought…but I’m theoretically on a yarn diet right now, so who knows when I might get around to it.