How does protein denaturation work?
Really the question how does protein folding work?  But let me answer your questions...

1) Very few proteins have disulfide bonds (usually secreted proteins) or really any covalent bond stabilizing the amino acid chain beyond the bonds that make up the polypeptide itself.  Denaturation is only reversible in relatively few cases in fact.  A few proteins, usually very small ones can be nursed back into a native folded state from an unfolded one, and then only a percentage of the sample will reattain the folded state.  

2) Sure.  In fact pressure changes the hydrogen bonded structure of the water and also therefore the thermodynamics of protein structure and has been used to study protein folding. Generally the electomagnetic field does not affect the state of the protein fold.  I cite the fact that many many proteins have been studied via nuclear magnetic resonance, in which the proteins have been inserted into some of the most powerful magnets that can fit into a reasonably sized room.   That is not to say that the protein function might not be affected by such a field.  I'm sure by the time the field is large enough to ionize water or the peptide change you would see something... so you can always push things too the breaking point.  

3) Many proteins from thermophilic organisms are more resistant to denaturation and companies actually engineer proteins to be resistant to all sorts of outrageous conditions and still be folded and functional.  Laundry detergent is full of crystallized enzymes that will sit happily in detergent for a long time.  I don't even know if these products have a shelf life.

Overall proteins are vulnerable to denaturation for a good reason- the cell degrades them when it doesn't need their function and can recycle them for their component amino acids. If they were all this robust the cell would starve to death quickly.  If there is a biological role to a protein that is denatured and then refolds itself it is only for extremely rare situations.  Proteins for the most part don't fall apart once they are folded and if they do, they are done. 

Some possible exceptions: some antibiotic peptides which fold into pores that kill their targets and the amyloid plaque which takes on a different fold when in the brain which is associated with - but may not cause - Alzheimer's.