I seriously think you are making this harder than it is just to see how far you can string us along. First, the sample data you provided is so genericized its confusing--is Part_SSN1 the same as DEP_SSN01? Also, I have no idea what table that data is from--I assume its Dependents, but I am not certain. Third, The field names atop your sample data don't match any of the field names in the SQL you posted. Fourth, looking back to your initial post, now there are even more relationship and termination codes.
Fifth and worst of all, I think if we somehow get this 1 query to do what you want, that only gets you 1/4 of the way to where you want to be.
Let's start over. Post some sample data from AcctMbrs, some corresponding data from Dependents, the tier definitions (in words, not codes) and then tell us what Tier each sample row in AcctMbrs should fall into based on the sample data you provide.