Great question... and a condition that is truly maddening. The short answer to your question is yes, the symptoms DO sound a lot like Tourette's. Particularly if the "tics" migrate from time to time (the squeaking sounds are a good example), then Tourette's is more likely. Too, the condition can be triggered by ambient anxiety, as you have already pointed out.
As for treatment, you seem to have a case whereby the symptoms fade once order and calm are restored in your life. If you feel that a period of calm is waiting on the horizon, then maybe "riding it out" will work for this episode. If however you feel that your life is being negatively impacted, and that the symptoms themselves are beginning to create distress which may actually exacerbate the symptoms (a vicious circle, if you will), then there are medication options - although the best course of treatment is medication plus talk therapy. The meds can help to interrupt some of the "looping" in your head while the talk therapy can attack the behaviors head on.
In the short run, perhaps schedule an appointment with your general physician and begin a conversation about the symptoms with him/her. Your doc will be the best resource with prescribing the medication and/or referring you to the appropriate professionals to continue treatment.
I wish you the best. If you are satisfied with the response, please hit "Accept." That is the only way i can receive credit for my answer. Thanks-