Ah, I remember my first time, it's so exciting, but also a bit stressful. Carefully dig out the eggs, mark the top of them with a pencil, and place them in a small indentation in your vermiculite. If the vermiculite was make up 1:1 with water by weight, the humidity should be fine. The hygrometer might be faulty.
Seal the lid. I have found any temp range from about 27-30.5 is fine, humidity is the more important aspect, but if you keep the lid totally sealed for 2-3 weeks after they are layed, then maybe air them on a weekly basis, the humidity should stay fine, you may need to drop some more water on it at around day 40-50, or if some of the eggs start to dimple.
The rest is a waiting game. Make sure you fatten your female up with plenty of food, especially protein and calcium. As the eggs will have leached the calcium from her body. There is a pretty good chance she could lay another clutch or 2 back to back, even without mating again, so she needs to be in top condition.
Good luck mate!