If you did not receive proper notice of the proceedings then you can contest the new order. You will be able to present documentation of your earnings, but you should know that the court does have authority to impute income to you in certain circumstances. Also, having another child to support can be a factor in the court granting a deviation from the presumptive amount calculated according to the Washington support schedule. Your debts are not a factor unless they qualify as "extraordinary debt not voluntarily incurred." You need to talk to a lawyer as soon as possible.
Yes, the judge should look at other financial responsibilities if the law is being applied correctly. For a further detailed explanation please read Fathers’ Rights (Basic Books) and visit www.dadsrights.com.
Although judges have great discretion in their rulings, in general child support is governed by RCW 26.19 (http://apps.leg.wa.gov/RCW/default.aspx?cite=26.19). You can also read relevant cases on the MRSC website.
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