Thanks for the reply. I am sorry for the delay, but I was still sleeping by the time your answer came through.
You'll be able to find the names of the police when you go to court and start getting your discovery. You called the police into your home to respond to an emergency. There is no fourth amendment issue as to an illegal search and seizure in your fact pattern.
Miranda warnings are not required in every case. If you were interrogated after you were arrested, then you should have been Mirandized, If you were asked about the case at a time when you had reason to believe that you were not free to leave, you should have been Mirandized. If you were not, then Miranda doesn't apply.
If your Miranda rights were violated, that will not dismiss your case. It would eventually entitle you to a hearing on the matter and if the judge agrees at the close of all of the evidence that your statements were improperly taken from you, the statements cannot be used against you at trial.
In order for you to prevail for a case of false arrest, you need to win your criminal case. So that's what you should be focusing on at this time. If you do not prevail, there's no false arrest because any conviction, whether by plea or verdict at trial will turn a false arrest into a true one, by definition.
Therefore, you should retain counsel, have him with you on your first court date and make sure you let him know that you hope to sue the police for what they put you through, since whatever happens in criminal court can be used against you potentially in your civil matter if you/your lawyer are not careful.
If you are unable to afford to retain private counsel, plead not guilty at your arraignment and ask the judge to appoint you a public defender.