Wow, such difficult issues. Here are my thoughts, starting with the pooping in the bath:
At her age, she probably doesn't have much or any bowel control yet. Yes, she can feel the sensations as they occur, but that's nowhere near the same thing as being able to plan in advance, hold back the urge, and get to the potty. Plus, warm baths are relaxing, and are suggested by many pediatricians to assist young kids who have problems with constipation exactly because they do stimulate a bowel movement.
So, if you can tell when she's about to poop, you could quickly try either holding her on the potty (wrap her in a shirt or towel to keep her warm, or this could be a very unpleasant experience for her, and make potty training harder later on), or sit her on a diaper so you have less mess to clean up afterward. She probably really can't help that, so I'd be careful not to show annoyance when it happens. You could use this time to tell her "Oh, you made a poop! Could you feel that? How great, someday you'll be able to make that in the potty, and then we won't have this big cleanup anymore!"
On the milk at night and her daytime neediness: She sounds like she could still be missing breast-feeding, and craves connection with you in any way she can get it. It's a difficult thing for many babies to give up. Would it be possible for you to spend several minutes several times a day lavishing her with hugs, touch, adoring words, etc. BEFORE she's begging for it? Sometimes we absentmindedly get wrapped up in all our must-do's, and responding to baby gradually slides into a more reactive, after-the-fact habit.
If you push affection at her more often, she may end up feeling much more secure, may even reach a point of "enoughness" and express a desire for you to put her down so she can get on with her own adventures. But some babies are simply less independent and adventurous, and they can't help it. They didn't ask for their particular personalities or set of needs.
And babies don't really know how to play, they just know how to manipulate objects at this age. That can wear thin in a few minutes, especially if they can't yet imagine any new things to do with the object. They need to be shown. This stage will gradually fade, and you'll probably find yourself wishing for the little girl who needed you so badly, so try to enjoy it while you've got it.
Look at this video and those related to it to see how Dr. Harvey Karp, who wrote The Happiest Toddler on the Block, deals with needy or tantruming children. I've found this approach very helpful with my grandson and other young kids I have worked with: http://www.youtube.com/watch?v=fJ1428uYs2g&NR=1&a.... .