You've got some nice colors to make exciting litters!
Squirrel (aka dilute or blue chinchilla) is, I think, a regular (black) chinchilla. Your rabbit has very distinctly black ticking and ear lacing, so it's not a dilute. You may be thinking dilute because of the eye color, but chinchillas can have brown, blue-gray or marbled eyes.
So, my call for Squirrel is: <A_B_cchd_D_E_> (not bb, as b is the allele for chocolate)
Here are photos of a chinchilla and then a squirrel (both Satins), for comparison:
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Gold: This one is a little trickier, partly because a steel
is an agouti, but with an additional gene that disrupts the agouti markings and ring placement on the hairshaft. At first glance she looks like a chestnut agouti (aka castor in Rex), but there are a few hints that she's actually steel. Her agouti markings are quite minimal, though there is a range of those markings in both agouti and in steel. But the real detail that makes me lean toward steel is that fur shot - a chestnut will have rings, while a steel looks tipped - in this case, gold-tipped. A chestnut would have black-tipped hairs. So I would suggest that Gold is steel: <A_B_C_D_Es_> (The convention is that "Steel" indicates a gold-tipped black steel, while all other colors of steel are denoted by the base color plus the tipping color, e.g. "gold-tipped blue steel" or "silver-tipped black steel.")
Here's a chestnut agouti (called "copper" in Satins), and a steel Satin, for comparison:
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Papa Brown, I agree, is a variety of steel, in this case probably a silver-tipped black <A_B_cchd_D_Es_>, though the photo makes it hard to be sure. The silver tipping is caused by the chinchilla gene, which removes most yellow pigment, leaving the tips silver instead of gold.
Your black is a black otter: <at_B_C_D_E> The otter variety comes from the <at> allele, which is midway in dominance between the most dominant agouti <A> and the recessive self <a>. If you cross this one with Papa, you may get silver marten, which is an otter with the chinchilla gene turning the tan markings silver.
Breeder 2 is a harlequin <A_B_C_D_ej_> This is the "japanese" variety of harlequin. If you cross this one with Papa Brown, you may end up with the "magpie" variety, which is black and white instead of gold and white (due, again to the chinchilla allele preventing the expression of yellow pigment).
Are all of these siblings and/or offspring of Papa? If so, you can figure out a lot more about the genotypes!