I don't often try the paper towel techniques etc. Plants don't need paper towels, ziploc bags, and hydrogen peroxide to propagate in the wild!
For lavender, fill a seed tray with damp compost, sprinkle the seed on the surface, cover with a very thin layer of finely sieved compost, and put the tray in a clear plastic bag to prevent water loss.
It should ...
Jujube you have is not fully ripened. These green jujubes will never germinate.
You need to get brown, crumpled jujubes and eat "meat" of it and break shells to see if any has seed in it.
If you buy premium Jujubes from supermarket, 100% you will not get seeds in them, I guess producers protect their market by doing so.
You will need to get smaller type ...