If the police have probable cause they can make an arrest without a warrant. Probable cause means a reasonable person would believe a crime has been committed and you did it.
Police must have a warrant to enter a home: with two exceptions: hot pursuit and exigent circumstances.
If the police are in your home just remain calm. A judge can sort things out later, you cannot.
Just remember to remain silent and do not agree to a search. You will learn from a criminal defense lawyer what a totality of the circumstances test means for consent to be free of coercion.
South Florida criminal defense lawyers know how to conduct suppression hearings, you don’t. If you have a concern contact a lawyer and ask. Remember that knowledge is power.