Having seen where your herbs are… I suspect they need bigger pots/richer soil/more intense nutrients. In my experience, things in small pots tend to die unless you water them regularly with something like worm poo or fish emulsion to give them a boost. I can't remember if you have self-watering pots but you might want to look into that too, as it'll keep them nice and moist for longer between waterings.

Just looking at your plantings, I think you might be suffering a little from the semi-shade, yeah. Mint and parsley should be fine but I think rosemary and lavendar really like full sun. Maybe try something like coriander, chives, or lemon balm which should be able to deal with a little more shade.