When you stop one thing and start two others, it can be difficult to tell what may be the problem or if it's all of them.
If bp was controlling your acne and you stopped using it, the acne flare may be from that. However, you also introduced two oils at the same time. If I use anything with oil (I can only use jojoba oil at 1-2 drops) I get breakouts fairly quickly.
Bottom line, don't make so many new changes at once. If you decide to discontinue one thing, keep everything else in your skincare routine the same for a month or two. Only make one change at a time.