The "I'm going to kill myself" threat is straight up manipulative, abusive bullshit. Don't fall for it. I was in an abusive relationship with this guy once, who threatened suicide when I tried to break up with him. I stayed with him for another 6 months, and he continued to be abusive. He threatened suicide again, but it didn't work on me, and we were done. He's still alive today, no attempts were made.
Making someone feel like shit, or threatening them, or stalking them, or calling 100 times a day, showing up at their home randomly, is not love, or even like. That is an abusive, unhealthy relationship. You deserve so much better. I hope you know this.
Here are the signs of an abusive relationship. Not all of these have to be present for the relationship to be considered abusive.
Your Inner Thoughts and Feelings
Do you:
feel afraid of your partner much of the time?
avoid certain topics out of fear of angering your partner?
feel that you can't do anything right for your partner?
believe that you deserve to be hurt or mistreated?
wonder if you're the one who is crazy?
feel emotionally numb or helpless?
Your Partner's Belittling Behavior Does your partner:
humiliate or yell at you?
criticize you and put you down?
treat you so badly that you're embarrassed for your friends or family to see?
ignore or put down your opinions or accomplishments?
blame you for their own abusive behavior?
see you as property or a sex object, rather than as a person?
Your Partner's Violent Behavior or Threats
Does your partner:
have a bad and unpredictable temper?
hurt you, or threaten to hurt or kill you?
threaten to take your children away or harm them?
threaten to commit suicide if you leave?
force you to have sex?
destroy your belongings?
Your Partner's Controlling Behavior Does your partner:
act excessively jealous and possessive?
control where you go or what you do?
keep you from seeing your friends or family?
limit your access to money, the phone, or the car?
constantly check up on you?