Is it normal to cry everyday? ?

No it's not normal to cry every day. You're 13 and going through puberty, so your hormones are extremely busy and your moods are probably going up and down all the time. Nevertheless, it does seem that over and above that you are unhappy about your family, and having suicidal thoughts and cutting yourself is a serious problem. You need some help. If you can't talk to your family, try to talk to a responsible adult who you trust, a school counsellor, or friends mom who might be able to talk to your mom. Go and ask for help.