When sent to immigration after jail are you automatiocally deported back to your country. How long does deportation take. I am a cuban legal resident

After you complete your sentence, you will be turned over to the custody of ICE where your case will be reviewed for possible removal proceedings.  Generally, a domestic violence conviction would require you to be placed into removal proceedings.  You will have the right to see an Immigration Judge before they can deport you.  If you are eligible, you may be released on bond while waiting for your court date.  Since you are a legal resident, you may have some relief available to you, but only a qualified immigration attorney could review the circumstances of your case and give you an opinion.  I urge you to contact an experienced immigration attorney to review your case.  Our office is located in Omaha and we have attorneys who could assist you.