Machine learning is a very large field - you shouldn't expect to learn it in one or two months. Maybe you will be able to scratch the surface and learn to implement a few learning algorithms.
I am currently experimenting with sentiment analysis using Python scikit-learn and NLTK. Working on a project that tries to predict if a user rated a business positively or negatively based on his review comment. I have access to only the 160 characters of the review (not the full text) along with the rating given by the user. With 10K samples of reviews and their ratings, I am currently at 70% accuracy in predicting if a review is positive or negative.
I run a site on DO for about 2 months - last week I got a similar mail to "verify" my account. Luckily they had not taken down my droplet. I am willing to give them the benefit of doubt here - but I am preparing my Plan B right now in case they decide to "verify" me again and take my server down.
We really need to hear from DO to hear the other side of the story though.
I would recommend starting with scikit-learn.