Do I have chemical burn, and if so how do I treat it?

For the past 3 years, I have had a nasty smokers stain on my 4 front teeth. I have tried all kinds of tooth pastes to get it off, but nothing did the job.

Yesterday, I used a product called Eucryl Dental Powder, basically a very strong tooth paste for smokers. The product was so effective, that after one use it had removed almost all the stain.

In my excitement for how well it worked, I decided to use the product a 2nd and 3rd time in just 1 sitting. My teeth are now whiter than the KKK, but after I finished, there was a kind of pins-and-needles sensation in my mouth.

This morning when I woke up, my lips feel dry and stiff, like if the skin is cracking, and it is very sensitive to anything other than water. Coca cola, tea, or anything else makes it sting quite bad.

My mouth looks exactly the same, the skin I mean. But it feels kind of like it is burnt or something. Kind of like if my mouth is very very dry, with the skin split, even though it is not actually split.

Is this a case of mild chemical burn? if so how do you treat it?