I'm looking for an angel

I think I may have started a lavender from a cutting. I say may, because there is growth of new leaves, but there is also die off, and I am unsure if the new growth is really an indication that it has actually taken root. I simply put it in some soil. It's been a slow process, and what I have almost seems to be a little plant growing next to the very tip of the original cutting. Is this some kind of temporary thing or has this actually rooted?
I have read again and again that rosemary is hard to start from seed, and is best propagated by cuttings. Okay. I managed to come across a rather young rosemary (not yet in flower or woody) in a public area, and snipped off about 4" from a soft end. I swished it in a rooting hormone gel of unknown manufacture and put it in a wet starter block made by gro/dan delta. I did not buy these. A friend gave them to me. They are not the compressed peat blocks, but something else. If putting it in that instead of dirt or water was a mistake I can easily start over- I just put it in last night. I put the block in a round glass container-as wide at the top as the bottom, and my question is a matter of sun. The sun I get on my ledge hits from the top, not the sides, at least in the morning, so I'm not collecting a lot of heat this way. I just don't know if a cutting even wants this. My partner just loves rosemary-not simply as a culinary herb, but as a scent. I had another that I was trying in water, I don't think it was rooting, but in any case it was lost overboard

I also took a few cuttings of Jasminium azoricum from a friend who has a ton of the stuff. It nearly grows wild in SF. I took cuttings with lots of leaves, no flowers hogging up the energy. I have already tried this in dirt, in water, and even picking the mature seeds out and trying to start them. Nada. I put the wet block into a container that is a bit narrower at the top than the bottom because of everything I've read about propagating jasmine from cuttings the two main things seemed to be diffuse sun and humidity. I did this last night. This morning some leaves looked pretty...done, so I cut them off. Any advice? I'm totally working in the dark here.
My true hearts desire is a J. officianale, so if anyone knows of a good resource for those I'd love it to pass on to "someone" so that in April there is a better chance that one appears...
Still, I would really like this species to be successful. Like I said it nearly grows wild in SF, and there are a lot of fond memories from our courtship with this kind of jasmine. Having some of this and also rosemary would bring much romance into our little SRO

Finally, I put another lavender cutting in one of these things. It was doing well for a while, but now it's a bit droopy. I have it in a tall clear glass rectangle, about 3-4"X 5-6", same width at the top as the bottom. I had the cutting just in water, where it was doing fine for over a week, but showing no roots, and then starting to get droopy, so I cut a new end to try this. Initially I put the block in a yogurt container, but my friend who gave me the blocks said that a glass container that is tall and narrow works better. Any advice on what I should do here?
If there are any surefire ways to get jasmine and rosemary-tricks of the trade, I'd be grateful for them and quite willing to start over again if need be. If there's anything about my lavender, I'd love to hear it.
Much gratefulness and well wishes,
Shawna Fetzer