email the code into support@swtor.com from the email on the swtor account , will check they can see your email when they are online in about 7 hrs
as to the steam purchase if there is one , email per https://answers.ea.com/t5/General-Discussion-Technical/INFO-Steam-Purchase-Not-Working/td-p/9356718/jump-to/first-unread-message
You need to reset the password on the linked EA account that account has the persona xlenvylx that EA account uses a gmail email (email is different to swtor)
use the following link to reset the password https://signin.ea.com/p/web2/resetPassword then login on that EA account to fix the swtor account for purchasing
for future purchases, use incognito mode on chrome initially if you purchase on swtor.com to be sure browser cache and cookies is cleared
Support see no email from you yet for the code or steam purchase
