Harsh shift, Acceleration hesitation, Rough idle

The linkage came loose from the shifter to the transmission, I suspect. That should be an easy, or cheap fix.

Yes....10 years or 120,000 miles
Condition
Some customers of 2007-2009 model year Chevrolet Equinox and Pontiac Torrent vehicles equipped with a 3.4L engine (LNJ), and 2008 Chevrolet Express, Silverado; GMC Savana, Sierra vehicles equipped with a 4.3L engine (LU3) may comment about rough engine operation and the illumination of the Check Engine Light. This may be caused by spark plug wire boots that do not provide a sufficiently robust dielectric seal to withstand the high voltage required to fire the spark plugs.
Special Coverage Adjustment
This special coverage covers the condition described above for a period of 10 years or 120,000 miles (193,000 km), whichever occurs first, from the date the vehicle was originally placed in service, regardless of ownership. Dealers are to replace all spark plug wires and, if necessary, the spark plug. The repairs will be made at no charge to the customer. For vehicles covered by Vehicle Service Contracts, all eligible claims with repair orders on or after January 5, 2011, are covered by this special coverage and must be submitted using the labor operation codes provided with this bulletin. Claims with repair orders prior to January 5, 2011, must be submitted to the Service Contract provider.
Vehicles Involved
Involved are 2007-2009 model year Chevrolet Equinox and Pontiac Torrent vehicles equipped with a 3.4L engine (LNJ), and 2008 Chevrolet Express, Silverado; GMC Savana, Sierra vehicles equipped with a 4.3L engine (LU3).

check tranny fluid level,if good,either pump in tranny is bad or cluthces in tranny is gone bad,how many miles?

Have the computer checked for trouble codes to continue troubleshooting the problem.

AIR FILTER NEEDS CHANGED TRANSMISSION FILTER & FLUID NEEDS CHANGED MASS AIR SENSOR IS NOT READING ACCURATE ; OXYGEN SENSOR MAY BE GOING BAD;TAKE IT TO THE DEALERSHIP COULD BE MORE WRONG!?

Bad gas, bad sensor - take to auto parts store to read codes. Plugged cat.

bad tire? or motor mount

Have the DTC read and take it from there. But i bet you have a cylinder misfiring. Once you get the DTC read it will lead you to the problem and you can tackle the job from there. It usually is a pretty easy fix.

This code is most likely not related to the problem, it sounds like you may have picked up some contaminated gasoline, maybe has water in it or other like dirt.

Have you had your throttle position sensor checked out? It'll cause a harsh and/or delayed shift from first to second. Second thing to check out is your PCM, as it controls the shifting of your transmission.