1. Madam Coyote
2. Yes (3 times now)
3. No - I tweet using Hootsuite's bulk upload tool, except this morning; after unlocking my account, I tweeted exactly one of my products manually, directly into twitter, in a web browser on my computer. I did not schedule any other tweets today.
Additionally, I went in this morning and unchecked the activation button on the retweet app, but just now when I looked it was checked? I'm not sure what happened there.
Despite that, I'm also thinking it might not be the retweeting tool.