Won't go into too much of the above trying to be an apologist, but I do recommend you call in general, EK is excellent in the phone and terrible on e-mail.
When the name on the account matches it's pretty instant credits (few hours after arrival of a segment). The source of your issues seems to be that.
SPG earnings aren't that great from EK, so Not sure if it's worth the hassle. if you're SPG (like I am) you get 2 points per USD spent at EK I think. Doesn't add up to much, but then I buy Y fares...