No dig gardens are not instant gardens, taking 5 or 10 years to actually work. What you have is a layer of cardboard with some rotting sawdust on top. It is probably devoid of all nutrients, not just nitrogen. Time to fertilize those plants. Use a well balanced fertilizer with micronutrients.
Four inches in not enough depth to grow most vegetables. Tomatoes root 6 ft down, given the chance. Hopefully, the vegetable roots will grow through the cardboard and root into the old soil.
If you want more advice, please post some photos.