My husband's ex wife is still using his last name, even though her maiden name was restored in their divorce. I even have

As my colleagues have pointed out, bring the issue before the court that granted the divorce.

Do both spouses income count as income for the purpose of child support payment in the state of Florida?

His new wife's income does not matter for child support purposes.

How do I go about filing for an appeal

You can google the Florida Rules of Appellate Procedure. Appeals are difficult and you should consult with an experienced attorney.

How much does it cost to get a divorce when the people have a child and how long does the process take/?

The cost and length of litigation is largely attributable to how much the parties want to fight and how likely they are to come to an agreement.

Is it extortion when someone says I can make all child support go away if you pay me $40,000?

No, that is not extortion. You should consult with an experienced family law attorney in your area.

If you have an active warrant and it's brought to the court's attention, you could be arrested by the bailiff in the courtroom.

Yes I recently moved to Florida and just got served with custody papers to go to court in New Orleans.

If you only recently moved to Florida, then New Orleans is likely the proper jurisdiction. The children need to be in Florida for 6 months before...

What do I file to force compliance with family law rule 12.285?

You should make a good faith attempt in writing to get them to comply with the requirements. If that fails you should file a motion to compel.

I lost a law suit, i went pro ce knowing i had heavi arguments to win, but for any circumstance coudn't show up at court, so,

Yes, there could be monetary sanctions against you. You need to consult an experienced attorney in your area and provide significantly more detail.

Is it a constitutional right to get 50/50 custody

50/50 timesharing is not a constitutional right. A lot of judges lean that way now, but it is no guarantee.