It's common to install the thermostat backwards so that it is closing as the engine gets warmer rather than opening. Double check the 'stat to fix the overheating at higher RPM's.
As for the compressor, sounds like the AC system needs to be purged and refilled. But the compressor won't cause enough of an issue to cause your temps to rise as they have. And a word of warning: These engines don't like to be overheated and are prone to drop a valve seat in the #2 cylinder. Make take years or may happen next week
Check that 'stat and report back to us.
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2003 Renegade, Black
- 3.7L, 42RLE, 4.10's, 4X Guard Trans skid, Factory Engine, T-case, Tank skids, Modded BoulderBars sliders, OME 927/948, Bilsteins, JBA A-Arms & 1/4" top plate, 1 extra rear iso/side, Moabs with Firestone Destination AT's 255/70-16