"Okay, yes, I should start with - usually how I teach magic to someone in an, uh, field-expedient way.
Ideally you'd have a range of magic items around and that would be much easier, but you ought to be able to do it with the mana crystal and the vital honey.
First you need some kind of casting paradigm. Runes should do, but any kind of symbol / concept mapping that makes sense to you can be made to work, as long as it covers roughly the same - concept-area. You need to be able to hold at least one of the symbols in your mind, and work out how you would relate it to the task of detecting magic. The more intuitive it feels, the more likely it will actually work. Once you've got it then you can get it down to a thirty second incantation, or a couple of seconds if you're over-powering it, but when you start out you'll probably be slower. Rituals take at least two minutes and you have to expend crystal mana to do them, you can't just cast out of your own power, they might actually be easier to invent but not with that little supply of mana.
Then you need to be able to reach out with that and feel that there is magic in an item. Mana crystals project the general idea that there is magic in them all the time, so you should be able to get the correct feeling by handling them, but they're no good for learning the right mental motion to detect it in other things because they're too loud - pretty much anyone can feel they're magic without the need to actually cast the spell correctly.
That's where the vital honey comes in - it's not ideal because you already know it's magic and Spring magic, so you can fool yourself into thinking you've got it when you haven't. The glowstones should also be detectable but they're very faint, sometimes even I have trouble picking them up, so not ideal to start on.
Generally if someone doesn't get it immediately, I recommend meditation - do you have that? Breathing meditation to get started, mantra meditation if breathing doesn't work for some reason, then mindfulness meditation focused on the mana crystal. That often gets people who are going to get it spontaneously to work it out, although often they then come up with their own paradigm and are a pain to re-teach in one of the standard ones so they can cast with a coven - but you won't have that problem, you can establish whatever you get hold of.
You also don't have the resources to do the other basic motions - creating a bond with a magic item or between egregore-bonded people, operating a portal.
Other standard spells, other than the weird ones, basically come in healing and fighting, and then of course lots of complicated edge cases but those are probably going to be harder to find from first principles. Fighting ones need an implement, basically whack a crystal onto a stick and it will probably do the job; spent mana crystals are ideal, but anything that is vaguely similar should work. Putting energy through an implement can throw people away, stop them in their tracks, break an object or mess up someone's body, either to stop them doing anything complicated or make them die much more quickly if they get injured.
Healing comes in your standard 'accelerate what the body was doing anyway', fixing limbs, fixing poisonings, and I guess speaking to recently dead people is a similar thing.
I'm hoping by having an idea of what is possible, you might be able to get there one day, even if you don't spontaneously generate the ability to do magic in the next half hour. Which is possible, and if you think you're going to manage it, aim it at me - either you'll pick up the magical effect on me, which will probably be easier to spot than anything else we have on hand, or I'll be able to let you know what you are doing."
