Yes etizolam can show up as benzos on certain tests. If you've made it 13 days cold turkey already then you will be fine. It will get easier by the day, no sense in setting yourself back at this point.
Maybe you could try cbd oil for the anxiety, I have a buddy who hates smoking weed now but vapes cbd oil for his anxiety and swears by it. Legal in all 50 states and is sold at most smoke shops. Imo benzos shouldn't be prescribed for anxiety because they're simply masking the symptoms as opposed to treating the cause.
Get into a counseling program if you can to help with the under lying causes of your anxiety. Also start an exercise regemin if u don't already, it helped me quite a bit. Try new things, reading, new tv shows, hobbies etc. "the secret to change is not fighting the old, but building the new." Wish you the best man ,you can beat it. may take awhile but I assure u the symptoms will subside. Stay strong