Assalamu alaikum,
My husband and I (married for 3 months before separation) separated unexpectedly in the beginning of January as HE told me to I should go and stay in my parents house. He also did not visit me at all during the separation. At the end of March, he sent me an email testifying that he had given me one talaq and his father and uncle were listed as the witnesses. He also mentioned in the email that the marriage was not consummated – which is false. He has also not given me or my family any reason for why he has given talaq and has refused all attempts at a mediation. As I am not doing my Iddah in my marital home as this isn’t possible at all, (a. He does not want anything to do with me. b. I feel unsafe in the house as his mother has consistently harassed, threatened and emotionally/verbally abused me)

My question is (1) as Ive been living in my parents house since January and my husband and I haven’t been intimate since, do I still have to stay at home and not go out at all? Ie are there any differences in my iddah? (2)if not, for what reasons can I go out? (3)Is he not supposed to be providing for me for Jan, Feb, March and my iddah period?(til end of May) Because he stopped providing for me since Jan, and did not allow me to work while we were married.
Jazakallah khairun for your time