A compression check is a good start. Pull the top plugs on each cylinder and turn that baby over by hand for several revolutions of the propeller. It should feel the same through out. If you find a tight or binding spot, you could have a problem. What that would indicate would mean pulling the cylinders off at least to trouble shoot. Borrow a compression tester or visit a parts store and they often will rent one cheap. Leave all the top plugs out and screw the gauge into one hole. Turn the motor over and get three or four readings on each cylinder. If you have a bad jug, you will know.
But I would call a mechanic at an airport or Jurnigans and tell them what happened. Ask for an opinion.
I never experienced a spike in pressure, just always the opposite. mwood might be on to something.
If it is running rough then smooths out, that is a sign of a stuck valve. Have heard of the valve seats unseating and dropping back in. Especially if they were reamed out when installing.