This is a job for either Epoxy or crystal mastic. You want a product that dries water clear (unless you want to color it green to match the stone).
First I would color test the glue you are using in a place you won't see it to make sure that the glue does not enhance the color. If it were to do that then the repairs will be more noticeable.
For the hairline cracks you should use a penetrating epoxy. This will serve two purposes:
1) It will seal the cracks
2) It will impregnate the stone to help prevent the cracks from getting any bigger
Penetrating epoxy has a viscosity like water and when you use it please call for directions to get the best results. Here is the link:
http://www.defusco.com/stoneweld-crack-filler-epoxy-24oz-p-1982.htmlFor the large chips and for where you will be gluing the salvageable pieces back in place, I would use a knife grade epoxy or a knife grade crystal mastic (but then again, for any application other than a horizontal lamination I prefer knife grade as it is the consistency of warm peanut butter and tends to stay where you put it better than a flowing epoxy, which is the consistency of warm syrup).
For the epoxy I like the Instant Install as it is a mercaptain epoxy and doesn't stick to already polished surfaces.
http://www.defusco.com/instant-install-minute-epoxy-20oz-knife-grade-p-2371.htmlFor the mastic, there is nothing better than Crystal by Tenax:
http://www.defusco.com/tenax-crystal-knife-grade-mastic-liter-p-987.htmlI have used the Crystal to repair a solid jade bracelet that broke into 2 pieces for an Asian woman that I know, and the result was good. Strong adhesion and only a slightly noticeable joint.
If you have any questions please call us at 800-289-6834.
Hope I was of service,
Mark