Well, I've been there. My work knows I have bipolar so they really came after me. It was terrible.

I am also flagged as a "problem employee" and I really hate it.
As for your husband and the baby, you need to take a step back. Daddies do not take care of babies the same way that mommies do. It is just the natural order of the world. Men deal with baby things in a much different way. I've had two husbands who are completely different from each other, but when it comes to babies they have a ton of similarities. It has really been an eye opener.
First off, daddies have a different way of being able to handle a crying baby for very long. My ex refused to hold our son when he was crying. He would say "it hurts my ears." He just couldn't do it at all. My husband now does better, and if the crying is from pain or sadness, then he does a good job to comfort the baby. If it's a temper tantrum, however, he just says "Knock it off!" and gets aggitated very fast.
Feeding and holding a baby is different for them, too. The way he holds the baby is totally different than how I do it. And proping the bottle, that is an iffy thing. If he's right there with the baby, it shouldn't be a divorcable offence. If he's leaving the baby somewhere alone then that's a problem. If anyone else is available to change a diaper, my husband will hand the baby off to them. (My ex was the same way.) So, it's just the differences with men and women.
Try to consider that when you are feeling frustrated. Sometimes you have to take a step back and a deep breath. If he's a good husband and a good father, just not that great with babies, then he seems to be a pretty normal guy to me.