Curing on a paper towel (is that the same as a kitchen tissue?) on top of a plastic tray is fine, as long as the soap has good air flow around each of the bars. Turning or rotating the bars periodically is sometimes suggested to allow more air flow to all surfaces. So if your room has good ventilation, that should be fine.
If your soaps are on top of a tissue or paper towel and leaking oil, it should be evident on the tissue or paper towel. I once made a soap that leaked the fragrance oil for what seemed like forever. I kept waiting for it to re-absorb like is supposed to happen and it never did. I was pretty sure I measured correctly when I made the soap, but perhaps I somehow made an error with my scale and added too much of the fragrance. That soap had a real oily feel to it when rubbed with a paper towel.
Is that the only bar with an orange spot? If so, I suggest cutting it off and seeing what's underneath. You may find more seepage, or you may find beige soap.
To answer your question about turning the bars of soap into a liquid-like soap if it has DOS, sure you could, but why not just use the bars as is? Until the DOS starts smelling rancid, they are still usable as bar soap. Once it starts smelling bad, though, you probably wouldn't want to use it simply because it's not a pleasant odor.
