Does this also control Yellowjackets (wasps)?

For Paper Wasps (build gray nests) a wasp spray is safer as it sprays out a direct stream about 10 feet and really zaps them. True yellowjackets are the small vicious guys that nest in the ground, so they will continue emerging. Probably won't get them all? (I only use this for mosquitoes).

Does this kill spotted lantern flies?

100%, anything can kill those….

How many cans does this include?

One can shown. Before use, be sure to charge the can first by shaking it up and sit in sun to warm up. (Shake n rotate) it will be nothing but stream of liquid vs. mist if you don’t.

What are the ingredients? Can I use it around birds?

Not to alarm, since I use this and find it very satisfactory for mosquito problems in the back yard. However, since you specifically requested info on the two ingredients, I would suggest you do your own research (or do not use it). Google yourself for each ingredient (as I have in order to answer). -I am amazed, specifically, the hazard to CATS!! One ingredient's Wikipedia summary specifically mentioned withdrawal of it's use in CAT flea//tick products. - As far as birds, I seldom see any mention of birds in discussion of pesticide sprays for mosquitoes. Some info suggests low toxicity to birds (from the ingredients). Even so, you would want to not spray near birds, nor let the mist or vapor move onto nearby birds that may breathe it in. - FYI CUT AND PASTE: https://www.atdove.org/article/pyrethrins-fact-or-fiction RE: cats