Yes, an unpaid toll fine can definitely lead to a warrant being issued.
if the warrant is for your arrest then yes you would be arrested
Yes, if you have an unpaid traffic ticket that has gone to a warrant in Texas you will be unable to get a drivers license in any other state.
The unpaid ticket causes the court to issue a warrant for your arrest. It's unlikely that California would extradite you from Texas for an unpaid traffic ticket, but if you go back to California, you are subject to arrest at any time.
Ask your local police Department.
they have nothing online you have to call the police station.
Usually in Texas they suspend your license and send the fines to a collection agency. There is no difference in the warrants. If you are stopped with a suspended license you will usually go to jail.
No, a police officer in Texas cannot arrest you solely based on a shoplifting misdemeanor warrant from Florida. Generally, warrants are only valid within the jurisdiction they were issued. However, if the police officer in Texas discovers the warrant during the interaction, they may notify the Florida authorities, who can then take appropriate steps to apprehend you.
As soon as you don't show up for the court date mandated on your ticket, your ticket becomes a bench warrant. So the answer to your question is instantly.
If the police run your background for any reason they will see the arrest warrant for Texas. Depending on the charges Texas may or may not decide to extradite you. If it is a minor charge they may not extradite because Texas would have to pay for it.
Police with an arrest warrant can enter the home of the person named in the warrant if they have reasonable grounds to believe he is on the premises. They can search the premises in any place the accused person would be able to hide (they couldn't for example, look in the drawers of a nightstand, because no one could hide there). Police have to get a search warrant to enter the house of a person other than the one named in the arrest warrant.
A warrant is an order for an arrest issued by the court. But many arrests do not need a warrant. If you punch someone in the face, and police are called, you will be arrested without a warrant, and one will not be needed. If say, you failed to show up in court, then a warrant for your arrest will be issued, to alert all officers that you should be arrested on sight. So the warrant itself is not the thing 'allowing' you to be arrested.