Core lifts are inconsequential, especially since contests vary. You can make up for "weak" lifts with a lot of speed and technique. I've seen guys crush an overhead event with a weight that they could never press in their lives because they had an amazing jerk technique.
Your best bet is to find a contest in your area and sign up for it. Whatever the novice weights are, I assure you that you'll get MUCH stronger at them if you have a contest you're training for versus just training on your own.