1997 dodge intrepid is stuttering in reverse

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Check the fluid level, add some transmission aditive. this should take care of the reverse problem. Check the engine and transmission mounts for the jerking. Let me know.
Randy

P0700 codes are Transmission DTC's (Diagnostic Trouble Codes)...

The specific codes are Incorrect Gear Ratio codes. This problem could be caused by low transmission fluid, deteriorated transmission fluid, a shift solenoid malfunction, the transmissions line pressure, quite a few electrical problems, etc. First step would be to check the fluid level the correct way. The vehicle must be up to operating temperature, and the shifter must be in the Neutral position. Also look at the color of the fluid. If the fluid is no longer the right condition, (most of the time it is bright red) it will be brown, or darker looking. Also smell the fluid, it may smell burnt. If this is the case, the clutch may also be slipping. In conclusion, if the fluid is NOT the problem, you may need to have the transmission tested by a certified technician. Hope this helps you.

I found your solution (with pics) at:
http://www.autozone.com/autozone/repairinfo/repairguide/repairGuideContent.jsp?pageId=0900c1528006a865

However, www.autozone.com will expect you to register (free) to access their repair guide database.
Note: The Intrepid 3.5L engine takes the Delco starter, while the Intrepid 3.3L engine takes the
Nippondenso starter.
How can you tell which engine's in your Intrepid? read 8th digit of the VIN code.
VIN code "F" - 3.5L 6cyl MFI (multi-port fuel injection) - 60% of 1997 Dodge Intrepids sold
VIN code "T" - 3.3L 6cyl MFI - 40% of 1997 Dodge Intrepids sold

Only check the level when it has been driven and warm. And while it is still running. Now, for the slow engagement, It may be draining fluid back into the pan, from the torque converter. Let it idle a little while before trying to drive it. That will fill the torque converter back up, and will drive right away. Takes about 2 minutes of idle time to fill the torque converter. Now, drive it and then, while it is still running, in park, check the fluid level in the transmission. It very likely could be low and could also be the slow engagement cause.

those trany are none for problems. first is to check your fluid level if its good then to the trany shop it goes, you can try having the trany fluid flush if it hasnt been done every 30,000 miles.if not then you may need a rebuild.

If adding transmission fluid doesn't help, then take it to a mechanic.

start by checking your transmission fluid 1st and as well as ensure it is fully set to reverse it is possible for it to show a false reading on the indicator bar readout

check first if you are loosing water or cooling fluids on your radiator. There may be a leak or the radiator cap may no longer prevent the steam from escaping. check the radiator fans if they are turning. You can check the fan if it is working by removing the temp sensor at the lower radiator hose. The fan should turn on by then.

I was told to change my Transmission Control Module,located on the transmission . You can get it new for under $200 but, I was advised to get it from a junk yard it's alot cheaper and its easier. I hope this helps