Carrying the passport close is good. I recommend a neck pouch and keep it in your shirt.
Travel clothes are a good idea. You can wear your blazer on to the plane, but it's good to have a light weight decent looking collared shirt that's easy to wash and can be worn on the plane. Those kinds of shirts have a relatively short lifespan, but it's ok. They make travel pants as well, but I usually just wear a pair of Dockers.
Jet lag is real and it's not because of sleep deprivation. But there's specific sleep systems you can use to counter it, that work by limiting the amount of light you receive. I don't get it yet, so I don't really bother.