How can I claim legal ownership of two cats after they were abandoned by their other co-owner?

You can tell all that to the judge. Sometimes what's right is right.

Will I get a ticket for passing a bus in these circumstances?

See the following statutes: 46.61.370 Overtaking or meeting school bus, exceptions—Duties of bus driver—Penalty—Safety...

What can my son do?

The answer to your question depends mostly upon the orders of the court.

Is it possible to arrest a person even the warrant of arrest has no signature?

rule 2.2 governs warrants:...

When someone is registered in WA State as sex offender and move to another state .... ?

Your question does not state sufficient specific facts to determine your answer.

Can I get my belongings from a ex house. That she trying to keep from me. Even if I have receipts for it

You can ask a court for an order regarding replevin. RCW 7.64 (https://app.leg.wa.gov/RCW/default.aspx?cite=7.64)

How do i stop a declaration of forfeit

If the property in question is significantly more valuable than an attorney's time, you should retain a lawyer. A "forfeiture statute allows...

What is the appropriate execution of serving a warrant?

It's entirely possible you may have a cause of action at civil law on the facts as state. You should call an attorney in your area.

You should retain an attorney. Property division is supposed to be just and equitable "after considering all relevant factors including, but...

See RULE ER 401 - DEFINITION OF "RELEVANT EVIDENCE" "Relevant evidence" means evidence having any tendency to make the existence of any fact...