If I retweet a tweet, is there a way of finding out how many times "my retweet" has been retweeted / favorited? Are there provisions in the Twitter API to retrieve that? There is no key in retweeted_status which gives that information. What am I missing here?
Yes you can track it. Get the stats(favorite, retweet_count) of your retweet(time when you are retweeting it.) and save this stats somewhere as a check-point. Next time when someone is going to retweet it again you will get an updated stats of the your previous retweet and do compare latest stats with the existing check-point.
Find the number of retweets of a retweet using Tweepy?