| Whats likely to happen is this:
1. Court will not take into consideration the past and what you were told, nor will it matter if your name is currently on the birth certificate or not.
2. You will be ordered to a DNA
3. Depending on the results of that you will either:
a) be released from obligation of that child due to DNA returning the child is not yours
or
b) you will be found to be the father and therefor will be required to pay child support, and you will have the right to visitation.
It is highly unlikely that you would be able to obtain 50/50. That will most likely not be in the child's best interest as you are a stranger to that child and can cause a great deal of emotional trauma to him/her. But rather you would have the opportunity to begin establishing a relationship with that child by limited and increasing visitation schedules, "step-up" plans if you will. Starting with smaller amounts of time to increasing amounts.
As far as arrears and welfare compensation, I believe that is up to a judge and the rules of your specific state.
Your spouses income will not likely be a consideration when awarding child support, however, it can be. It really depends on the state the order will be established in and the judges decision.
Hope that helps. | 
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