You can only put a TB in the rescue system if it has stayed in one cache for four weeks. Here is the wording on the 'create new mission':
If you have a trackable that you believe is stuck in a geocache, you can create a mission for someone to fetch it for you. This requires that the trackable has been stuck in the same geocache for at least 4 weeks and that you are the owner of it. The only thing you need to create a mission is the public reference number of the trackable.
Project-GC will then notify all volunteer rescuers that watch the area where your trackable is supposed to be. If you are lucky, someone will go there to investigate matters for you.