Now let us select inner part that is not included in uv map and make a cylindrical map again. Then place that part of uv in free space (red square). This is how your uv map should look like.

Now for the plate! Using same way. We will separate upper and lower part of object, but for plate we will use planar mapping and Y axis. You need to repeat this process couple of times until you get everything perfect. Uv mapping is process that you need to understand and learn. Without a decent and smart uv map you cannot do good texturing. This is how my uv map is set for plate.

Now let us leave much more uv space for upper part because it will have texture, and lower part will have just white color so it does not need to have big uv space. Now we will export this uv maps to PhotoShop and paint textures over them so that our texture will get into place after we import our textures and put them on objects.