I am unmarried father of newborn. My name is on birth certificate but I have not established paternity. Is this a long process

You have to go to court to establish your parental rights. It should be simple but each case is different. Use of a lawyer is recommended.

Who pays for extraordinary medical expenses for the child after divorce?

If not mentioned then it is a 50/50 split.

How to get my lawyer to do something?

Get another lawyer there are lots of them.

Does the value of the home go by the date of filling for a divorce?

The court has discretion but usually it is the date of the trial/final hearing.

My ex-spouse is supposed to share kids activity fees 50/50

Yes. If you give him a courtesy notice in writing and he did not respond then you are in the right. Use of a lawyer is recommended.

How to settle before the Hearing for Modification of Protection Order if the parties dont have lawyers and cannot have contact?

If you have a restraining order against him then he cannot respond to you otherwise he will get into trouble. Just set your motion for a hearing. ...

What if a spouse lives I another state what happens then? My husband lives in Ohio and we've been separated for 10 yrs.

If you and your soon to be ex have a connection to FL then you can file the case in FL. Use of a lawyer is recommended.

I owe a specific amount by a set date and I would have had it but just found out they re taking money out of my paycheck ..

Question not clear. If you have had your pay garnished to the max then make sure the court knows that. Use of a lawyer is recommended.

It is free, if you need protection from the court go to the courthouse at 8am and fill out the necessary paperwork. Use of a lawyer is recommended.

In need of advice, re: child support

You can just get a blank income deduction order then fill in the name of the employer as needed. Use of a lawyer is recommended.