It took me 6 years to get child support I have my hearing soon what if he doesn't show up can I ask for them to terminate rights

Doubt court will grant adoption our right, best to get a lawyer involved.

How do I object to a continuance?

Call the court and see if you can get a sooner date.

Judgement and lean on bank accounts

Get a lawyer and see if you can get the judgement overturned, or get an agreement with the debtor.

Is there such a thing as a common law divorce?

You can file for divorce. Best to get a lawyer to help.

Landlord issues...

The prior landlord can take them to court and may win a judgement. Not much else he can do to recover.

My ex has majority time sharing and my kids are always going to the hospital. Can i get full custody?

If the custody action is out of Nebraska then you can file. If the original case is out of Florida then not much you can do.

Can an employer hold your paycheck for 6 days?

I would doubt it is legal, but Nebraska's employment law suck for the worker. They may just decided to terminate his employment.

If you were in diversion then you should answer no to the question.

Get a lawyer to fight the contract.

Not likely to extradite you for this offense, but it is on your record. Recommend your hire an lawyer to have the matter resolved.