1. I got the alarm connected but it is not pulling names from the panel. Is it supposed to?
Yes, it's supposed to. There are several reasons why it might not:
1. You may have disabled the Zone Name Message or Zone Name Request Message types when you programmed the NX-8E/NX-584.
2. You may have a keypad that doesn't know how to name zones. (This isn't true in your case, but it's true for me.)
3. For the NX-584, you have to tell it the address of a keypad that has the zone names programmed into it. (This isn't true in your case, because it looks like the NX-8E doesn't have this option.)
In your case I think it's #1. Check LEDs in the configuration: Location 211, Segment 1, LED 4 on. Also maybe Program Location 210, Segment 1, LED 4 on (though I don't know if this one matters).
2. Is there a way to control it from SQRemote? Disarm from remote?
No, not yet. The AlarmPartition1 service isn't a MCV standard yet, but all of us Alarm plugin developers are standardizing on the same implementation so it will make the job easier for third parties like Square Connect.
3. I have my garage door connected to the aux outs on my alarm to open my garage. Is there a way to control the 4 aux outs on the panel through Vera?
It seems no. There might be a more hackish way to do it. I'll ruminate and see if one occurs to me.