Somebody somewhere out there will find value for this. I just don't know what that number is for you.
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What do you think about the usability of the app?
I personally don't care about pagerank when looking for a domain. I care more about the domain itself. Others my differ. Just a personal preference. In my experience, pagerank is meaningless.
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I thought the name was cute - Do you think I'd face any issues with it? (legal issues from GoDaddy)
GoDaddy also owns gomommy.com so not sure. In the grand scheme of things, probably unlikely but I'm not a lawyer and this is purely an opinion.
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How could I monetize it? Do you think its valuable enough to pay a monthly fee - $10 a month?
I personally wouldn't pay for a service like this but someone else might. Not exactly the most helpful answer but there is a target audience for most things. You just gotta go find them.