It sounds like you have discovered a side to your boyfriend that you were not aware of before moving in with him. You are uncomfortable with his behavior because this goes against your values. You value honesty and responsibility. Now you are wondering about his character. You are right to question this and you are lucky to find this out early in your relationship. Trust your instincts, if you do not want to be living with him, start making plans to move. You are not trusting him right now and trust is a basic ingredient in a successful relationship.
You are right to be distrustful. Trust your instincts. This sounds like a horrible, destructive experience for you. Be cautious, don't jump into anything or make any quick decisions. He may love you or he may be saying he loves you to manipulate you. Only time will tell you which it is. Take your time and let him know he needs to regain your trust and that will take time. If he is not willing to put the time or effort into regaining your trust than you have your answer. Focus on you and rebuilding your life, not on him. I strongly encourage you to seek therapy to process the hurts you have experienced and to rebuild your self-esteem. Good luck to you.