My first question is what to expect when crossing a Blue Silkie roo with a Black Australorp hen? From what I've read so far I believe there's a 50% chance of having blue or black feathering
That sounds right.
but is there anything else of note that could result? Feathered feet? Any chance of sexlink? Inherited broodiness potential?
Feathered feet, yes. Also crested heads. If the Silkie has a beard, the chicks might too. Chicks will carry the gene for Silkie feathers, but it is recessive, so they will have normal feathers.
Sexlink, not in a useful way. The daughters should show the black skin from their Silkie father, while the sons should show the light skin from the Australorp mother. You may see this in the faces, and the soles of the feet. But since the E gene (Extended Black) causes black on the legs as well as black feathers, all the chicks should have black or blue shanks on their legs.
I do not know for sure about broodiness, but it is quite likely that the crosses will be more broody than the Australorp mother.
My second question is there anything of note when mixing of a bantam RIR roo with our standard EE hen? What are the chances of the offspring being bantam?
Chicks are likely to be an in-between size when they grow up, although there is a chance of them being actual bantam size or growing bigger than their mother. There are a number of genes that control size in chickens, and not all bantams have the same ones. I read of one case, years ago, where someone crossed bantams of two different breeds, and the chicks grew to standard size!
Other points for that cross:
--all chicks will have gold/brown/red color feathers plus some black
--the mother has a beard, so expect a beard in at least half the chicks
--the mother has a pea comb, so at least half the chicks should have pea combs, and maybe all of them.
--if the mother lays blue/green eggs, either half or all of her daughters should too
--if any chicks have single combs, they are much less likely to have the blue egg gene (vs. chicks with pea combs.) This is because the pea comb gene and the blue egg gene are linked, so they are usually inherited together.
Based on her appearance, I am assuming that your Easter Egger hen is one with the link of pea comb and blue egg, but the linkage can actually be in any combination:
pea comb/blue egg in Ameraucana and many Easter Eggers
pea comb/not-blue egg in Brahma
not-pea comb/not-blue egg in Rhode Island Red
not-pea comb/blue egg in Cream Legbar and some Easter Eggers
Are there any negative health consequences or genetic issues that could arise from either cross? We're fine with having barnyard mixes, but I would like for them to be as healthy as possible (within our control).
I would not expect any trouble. I don't know of any specific genes in the parent breeds that would be worse when combined (for those breeds or any others.) The only inherited problems I know of in chickens are traits that show up when two of the same kind are bred together (ear tufts in Araucanas, short legs in Japanese bantams, frazzles from two frizzle parents.)
Feathered feet can get mud or snow stuck to them, and feathers from the crest and the muff/beard can sometimes block the chicken's vision, but those are traits that your current chickens already have, so nothing new when they show up in the chicks as well.
Attached pic for reference
The photo definitely helps!
(Especially when discussing Easter Eggers, because they are so variable.)