2000 Dodge Intrepid. Replaced battery, speedometer stopped.

Did you change the Vehicle speed sensor or the wheel speed sensor?? The vehicle speed sensor is located on the side of the transmission..And its for the speedometer and shift pattern..If all good depending on what year,some have to be reprogrammed

plate may be broken in the distributor

need to replace multi-funtion switch

If the engine light is on, find out the engine code by turning the ignition key to the "ON" position (do not turn to start the engine". Insert the key and turn it ON, OFF, ON, OFF, ON. The odometer should then flash a code beginning with "P". This will give you a clue as to the problem.
Here is a list of Chrysler fault codes to help narrow your search:
http://www.ptcruizer.com/computer-codes.html

I had a similar problem which turned out to be a Crankshaft sensor problem. Had it replaced and car runs fine.

A common issue are the input and output speed sensors.When bad they cause the vehicle to go into limp mode keeping it in second gear and speedometer sometimes no longer works.

just renew the speedo sensor its on top of the diff unit above a drive shaft

Check the output sensor on the transmission,
With out a speedometer the transmission does not know how fast you are going or when it should shift

check your fuses

YOU MOST LIKE HAVE VALVES CONTACTING PISTONS AND NOT ALLOWING ENGINE ROTATION..A 2.7 ENGINE IS AN INTERFERENCE ENGINE AND IF GOES OUT OF TIME WILL DAMAGE VALVES AND/OR PISTONS

sit in the drivers seat close the door. with the key off hold the trip odometer button in then while holding the button in turn the key on. if done correctly this will put the MIC (mechanical instrument cluster) into a self test. if the speedometer does not move like the rest of the gauges during this test the MIC must be replaced. if the speedometer does move it is likely your problem will be fixed, however, if the speedometer does move but it does not start working properly then further diagnostic will be needed.