There's no way to know if Bitcoin will drop back to $3000, but I would not be surprised if it did. We could be in a period of time where the price fluctuates in a range and it could drop to $3000 or below. It's also possible that the price never drops that low again. It depends on various factors including supply and demand, the economy, and current news about Bitcoin. The issues with China leave a lot of uncertainty for many people that makes me think we aren't going to see the price go up to $5000 for a while.
For the price of bitcoin to go down to $3000, it would probably take drastic changes or devastating news for such to happen. I also agree that it would be far from possible for the bitcoin price to get as low as that. So far, the bitcoin price is now recovering and hopefully the boundary would stay at that. It may take some time for the price to go up to $5000, I believe that it will experience some dips first especially with the upcoming hard fork this November.