Does my wife count as a dependent as she does not work?

[xmasbaby0]

NO.  A spouse is never claimed as a dependent.  File a joint return.

Married Filing Jointly is usually better, even if one spouse had little or no income. When you file a joint return, you and your spouse will get the married filing jointly standard deduction of $24,400 (+$1300 for each spouse 65 or older)  You are eligible for more credits including education credits, earned income credit, child and dependent care credit, and a larger income limit to receive the child tax credit.