Drs.....
Seems like your recipe has a lot of the same stuff I use.
I've been pickling eggs for about a year, and the best batch I made was just a few weeks ago.
I really have no set recipe, but usually add a few tablespoons of spices like Turmeric, chili powder, whole pepper corns, powdered mustard, sage......The list goes on and on.
I take my vinegar (usually just use the mix that's left over from the last batch) and mix all the spices in and set it in a pot to lightly simmer for 5 mins or so adding fresh vinegar to the pot.
Usually around this time I slice up an onion, 4 or 5 cloves of garlic, carrots and peppers (if I have them) and throw them in the pot.
I also pour in quite a bit of whatever hot sauce I have on hand such as Tapatio or the Sririchaya stuff.
After the mix is done simmering I dump everything into the old pickle jar with the eggs already inside and screw the cap on quickly.
I like to have my jar already sitting in hot water so that the boiling mixture won't stress the glass too much
When the jar is closed....leave it closed!
As the vinegar mixture cools off, it contracts and creates a vacum inside the jar which helps impart the flavor of your vinegar and spices to the core of the egg.
My last (and best) batch was left unopened in the fridge for 2 weeks.