What can I do now to clear my name and do I have a civil suit against the police?

If you were found not guilty, then your name is already cleared. As far as a civil suit, it would depend upon the specifics of your case. You can't sue the police for arresting you merely because the court found you not guilty. You would have to prove that the police failed to follow protocol or otherwise did not have reasonable grounds for the arrest, and even then, you would likely have to prove a certain level of negligence or recklessness in order to prevail in the civil suit. Because you've provided no details with your question, an attorney can not give a proper response as to whether a civil suit is advisable for you. Additionally, you've posted this question in the criminal defense section of LawQ&A's website. Because your question primarily deals with a potential civil lawsuit, it would be better to pose the question to a plaintiff's attorney.

Unless there were errors made during the trial, if you were found guilty by a jury, there is nothing you can do.

You cannot sue the police just because you were found not guilty by a jury.

You cleared your name by being found not guilty.

If you were found not guilty, there is no need to "clear your name" because there will be no criminal record and you can honestly answer in interviews that you have never been charged with a crime, in relation to this matter at least. In order to file suit against the police or district attorney, you would have to prove malicious prosecution ( basically they knew you could not be found guilty because there no evidence to support it) or that they intentionally targeted you for sinister purposes. Both situations are highly uncommon modernly.

No, you have no case against the police. To do so, would mean that every person found not guilty of a crime would have a case against the police. Every person who is found not guilty of a crime does not necessarily mean that they did not commit the crime, it's just that the prosecutor could not prove the case. Furthermore, it is not the police who bring the charges. They file their report sand refer it to a prosecutor or DA, who then decides whether or not to file the charges. When the charges are filed, a judge reviews the case to see if their is "probable cause". If the judge finds probable cause, then the case moves forward. Without being able to see the facts of your particular case, I can't advise you much more than what I have said.

You will have an arrest and court record which an attorney can assist in potentially removing, NO conviction and No lawsuit against the police.