Yes, you can do a rough capacity test.
Your inverter will have an efficiency rating, check the manual or ads for it. If you can believe that rating it will usually be at peak load so you would need to run your inverter near peak to get that ratings. At low loads inverters can have quite bad efficiency levels. I tested my own Giandel and it was around 60%. This is partly because there is a fixed component to the loss figure, the lighter the load the more significant that fixed loss is.
When you see the watt hour figure on the kill-a-watt you'll need to multiply that value by your inverter's efficiency figure to account for the loss there.
400 watts is pretty small, unless the hair dryer is on low it'll probably overload it, and even then perhaps still. The hot plate almost certainly will, but check their watt ratings, anything is possible.