The stutter could be a multitude of possible reasons. TPS, map sensor, ECT sensor , injector(s) or could also be mechanical. SES lamp on? Any symptoms related to the concern when it occurs is a helpful hint. As for the bouncing, I think your experiencing a death wobble. It's usually caused by a worn or loose steering or suspension component such as Tie rod ends, ball joints , track bar , steering stabilizer, hub and bearings and or an out of balance tire that's helping contribute to the wobble. A proper front end alignment also helps keep this issue from occurring. Do a search on the technical forums for a death wobble. It's been discussed here more that once and a lot of different information is available on those threads..
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