How can I expedite an inquiry to gain access to my DTS account?

When your profile is released, it is locked to you until another unit picks it up in their hierarchy.
For those who don't have multiple profiles, this is pretty much the only reason your profile gets locked.

Only a Defense Travel Administrator (DTA) would be able to complete this action. I replied to the soldier initiating this question with specific action to take. The traveler themselves can go to the DTS website & get phone numbers to both their current DTA & former unit's DTA and get the problem resolved in as little as 2 minutes - if the prior unit detached the DTS account; if the prior DTA did not detach the soldier's DTS account, even That can take 5 minutes (give or take in case of different time zones). I've done this myself! FYI, going through a Commander of 1ST could slow this process down unless - and this is a Big unless - they know Exactly who the unit's DTA is. If not... well that'll take a ton of phone calls And time.

As a former (retired) Defense Travel Administrator at Hqs, USA Cadet Command, I can thoroughly understand such a confused situation for a Reservist around this. While I didn't mention this in my original reply, there may be a DTA at the Brigade level like active duty does, but that's as low as a DTA can be designated, With the exception of ROTC Programs as usually the HR Technician schedules travel via DTS for Cadets attending training (ABNS, special internships, etc.), NSTP, MSL3 & sometimes MSL4 cadets attending the Advanced Course required for commissioning... basically any between term training events.

DTere Moore] - I was the OIC of a small 3-person budget shop. We kept busy. It was a large NG TSC with a National Disaster mission. I had an AD SSG doing AC DTS and AGR SSG doing the AGR and M-Day travel. We had a cell of 30 AD soldiers. There was a lot of travel, schools, and training involved. I noticed that 90% of their work was answering calls about DTS and making inputs for the travelers. It was quite inefficient.

I gave myself a week to understand DTS and create a smart book with lots of pictures and arrows. Then I emailed it to everyone in the TSC and told them to use the DTS smart book, and we were available for further assistance. It reduced the workload by 90%. I was kind of proud of myself for learning the technical aspects of the job.

It was a quite interesting gig working with a large NG TSC. I had never done budget before and then suddenly I was confronted with Title 10 and Title 32 funds. When we sent AGR and M-Day traveling I had to understand if we used Title 10 or 32 funds. It was based on whose mission was it they were supporting. AD or NG? I am glad I taught myself how to use DTS because my two NCOs left early on one Friday. We got the go ahead of putting around 15 M-Day on active duty in the support of National Disaster. Thus, I used an AD fund site and used DTS to pay for the per diem of M-Day soldiers.
This is what my DTS smart book looked like!

If you google DTS Smart Book and see the Geico Caveman, then that is what I started.