I'm not sure if there are major differences in the Speech Path timeline versus other fields, but here are a few thoughts:
1. It's perfectly normal for you to feel anxious in this situation, especially if you haven't heard back from their emails. You could try and call the office for reassurance, but if they told you that you are accepted, it's unlikely for that to change because of this situation
2. The wheels of academia move slowly. Your GRE scores may have needed to be resent from ETS, which takes time and someone at the program probably needs to sit down and manually add them to your profile.
3. As for your thoughts about the university's organization, it's hard to blame them as you did change your name, which would be confusing to most places. I wouldn't hold it against your program. This is likely a very busy time for them.