Yes, I agree. You've got your birth control in place that should protect you from this event. Get it up to date next month to make sure you continue to be covered. I have read several sources online that state it will not interfere with the implant if you are overweight or have a weight change. So ,you should be fine sweetie.
Your implant still protects you at two years 11 months, and even if you are overweight. (Congratulations on the weight loss, by the way!)