Your voltages look fine. Plate voltage is about 20 to 25 volts higher than any of my cathode biased EL84 amps. You missed two steps in your power calculation. First, the plate voltage is actually the voltage between plate and cathode, so you must subtract the measured cathode voltage from the measured plate voltage. Use this value for the actual plate voltage. Second, the power you calculated is for TWO tubes. So, in a perfect world, each tube will only dissipate half that value. Even after you correct your power calculation, your tubes are running very hot. That's typical for EL84s to be abused.
There are a few things you can do to lower the power dissipation... lower B+, lower screen voltage, or increase the value of the cathode resistor. The cathode resistor is what I'd change since it's easy. I use 150Ω (rather than 130Ω) cathode resistors with my EL84s and my dissipation is still hot even with my lower B+. I would try a 200Ω or 250Ω cathode resistor in your amp and recalculate the dissipation. Or not worry about it and just replace tubes as needed.
Now, back to your problem. If the amp was working before you shortened the leads (and whatever else you did, either purposefully or unintentionally), then the problem has to be what you did. Reexamine your work. It will probably be helpful to click on the link in my signature line at the bottom of this reply.