The Req-Hired! app assumes that you wouldn't want to hire yourself, and therefore omits your own advert from the search. To make sure your advert is live you can head to the 'advertise' section in the app, scroll to the bottom and make sure the advert is set to 'visible'. If the blue switch is on, rest assured your add is live and everyone else can see you.
That's absolutely fine! When you first create an account on Req-Hired! you're entitled to 30 days of free advertising, but only if you want to use it. The opening 30 days are entirely subscription free. If you do choose to continue advertising after that period, you'll need to 'opt in' for this through the Req-Hired! app, as this isn't done automatically.
The app is free to download, and free to advertise on for the first 30 days your account is active. Req-Hired! is also entirely free if you want to search for other service providers. The subscription is only relevant if you're looking to advertise your business after the opening 30 days.