The answers to your question are shown below and assumes that you do not live where community property rules would apply to you.
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Question 1: You should allocate your spouse's exemption under the spouse. All other exemptions can be listed under you.
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Question 2: You can allocate all of the child tax credit to you because without your income there would be no credit.
Below are the basics for completing the injured spouse form (8379). If you have not E-filed your return yet, you should include this with your return for the fastest processing.
If necessary you can mail it because it is a "stand-alone" signature form. If it is sent via the mail, include a copy of the W2 and any other document that has federal withholding.
https://ttlc.intuit.com/replies/6528459
