If there's a max temperature for the universe then it must be pretty high. In 2009 scientists fired Tungsten atoms at each other at almost the speed of light and it got up to 200 billion degrees!

Firstly, temperature is the measure of the amount of vibration the particles have, not necessarily its speed. 

Edit: I did not see that Ctrl + S sends the thing.

So far, the maximum temperature is only a technical limit because as things get hotter, the faster it tends to cool, which means heating something would always come to an equilibrium where the rate of heating is the same as its rate of cooling, where its temperature would no longer increase.

The maximum speed is not the speed of light. Recent studies show that neutrinos are extremely fast, faster than light.

Once Again, Physicists Debunk Faster-Than-Light Neutrinos:

Five different teams of physicists have now independently verified that elusive subatomic particles called neutrinos do not travel faster than light.

If you were to put all of the energy in the universe into the smallest possible particle, an electron (there are smaller particles, but that cannot exist on their own.) then that particle would have the largest possible energy, expressed in heat.