Crowns are usually porcelain fired onto a stainless steel post. As for amalgam underneath, it may be worth having them checked. You never know and sometimes there can be decay under there you didn't know about anyway. Usually a crowned tooth once was a filled tooth, and dentist often don't remove the old fillings before crowning. If there is amalgam under them, you cannot detox until it is removed. On another site I utilize for detoxing metals, they do not advise detoxing with ANY metals in the mouth including stainless steel. This contains nickel which is toxic anyway. But chemical chelators like dmsa will pull metals from your dental work into your body.
I would also advise that you choose one detox method to begin with. If you are going to use DMSA/ALA at some point please check into Andy Cutler's protocol for this. Dosing these too far apart or at too high a dose will make you sick. I am using his protocol on my son and we are not having any problems.

You have listed so many chelators, please be careful, chelating too quickly will make you feel terrible. Your body needs time to slowly dump metals as it can only remove so much at at time, any excess will be redistributed and make you feel worse.

I would say the algin, vitamin C, actually a good multi without copper or iron but make sure it has minerals is necessary.
Chlorella made me sick, so beware on that one. I have been metal free for a month, so it might be too soon. I am told that many of these things we need to wait quite a while to use. DMSA can be used beginining four days after removal. ALA is recomended that you wait at least three months. Because it removed mercury from the brain. You need to dump the body load first. The one thing I do not see here that is vital is Milk Thistle. You need liver support during chelation. Sauna's are excellent, epsom salt baths. Go easy at first. Save the big guns for later.