If you want to try something other than DrDawg's elixer, which I have not tried, but plan to, try Insecticidal Soap or Neem oil. They are both fairly tame. Sounds like you got a bad case of multiple baddies. Aphids, white flies and spider mites - all at the same time. Will likely require multiple applications.
When I have bad outbreaks, I start with the Insecticidal soap. In a week or so, if that hasn't done the magic, I try Neem oil. After a week or so, if that has not succeeded I move to Sevin. I know lots of people do not like to use heavier duty chemicals. I fully understand. I don't either. But over the years, I have lost multiple hundreds of dollars worth of plants to various nasties. I will not let the nasties win If I can prevent it.
Good luck with the bugs and the rot.