Should i continue our relationship?

Keep this in mind. Any relationship is bound to last and to be broken, depending on the people involved in it. If one of you stops to make the relationship work, then it is bound to be broken. it's as simple as that. Now in your case which is jealousy, i believe it is really a normal thing in all relationships. now what you have to do is to open this up to him. you guys should talk about it. Do it in a place where both of you could concentrate only on the issue. It is very important for you to get his side on the issue so that you will know the reasons for his actions. My advice is quite universal. All problems or issues in a relationship need to get out in the open. You both have to be open and true to your feelings. Once you get the problem out in the open, you two should come to a solution or a resolution. By then, you will know if you should continue the relationship. I hope my advice helped you and will help you now and in the future.