Re first question sakto sa annulment yan. On the second question, napakahirap magka sole custody sayo. May preference sa nanay pare, having said that there is no harm in trying. Although possible mahirap. First step is a bit tricky, based sa description mo parang gone girl si wife (no offense meant). But a physical separation usually begins an annulment process, as to what causes it eh depende. Answered you without the legalese. Good luck