I'll play. It will at least get the thread going with someone telling me how wrong I am
First off, I'm thinking your Jersey Giant is "blue" not grey as that is the typical type in JG. Blue is what you would see as "blue grey/grey" but it's called blue.
A little blue lesson. Blue is a diluter to black. One blue diluter over black is dominate (typically), so 1 blue gene produces "grey" birds or blue. 2 blue diluter genes produce "splash" or white base with flecks of grey. No diluter genes produces black.
Lavender is a "self blue" that is recessive (requiring 2 genes to present) and dilutes both black and red. I've not worked with lavender, so my genetics are not strong there. However I do understand recessive.
I predict (and then ran the chicken calculator over your hens to check):
Your rooster must be single blue diluter to be blue over the black gene, possibly 2 black passing 1, which tag along as I understand in blue birds. So he has 1 diluter to pass along with the black gene. That means 50% of the time he is passing the blue diluter for his black(s). He has no lavender genetics.
Confirmed with the chicken calculator
Red hen: 50% inherit diluter, so present blue (male/female). 50% no diluter and will present black (male/female).
Sapphire Gem: A bit trickier. Sapphires are blue diluter (1) and have self-blue genes for more "even" blue distribution for "lavender." I'm making an assumption that your hen would have 2 lavender, since it is recessive, and 1 blue (otherwise she'd be splash). Since, as I understand it, lavender is recessive and requires 2 genes to present, your chicks could only receive 1 lavender...so I'm going to take it out of the equation as it will pass but won't affect presenting.
If she is 1 blue....50% splash as half the time the chicks are getting a blue from Mom and a blue from dad; 25% blue as 1 blue diluter; 25% black as no diluters, both sexes. If I run lavender through the calculator, I get 50% black and 50% blue...no lavender, as again lavender is recessive needing 2 genes. I wonder if that may impact the occurrence of splash??? Here's where my genetics fails me and the calculator indicates no impact. Bottomline you are going to get some blue and black chicks and quite probably splash from the Sapphire Gem
Gold Laced Wyandotte hen: 50% blue; 50% black, both sexes.
I love trying to figure out the color genetics on my mixed breeds.
A good source is:
https://kippenjungle.nl/Overzicht.htm#kipcalculator
Have fun
LofMc