1997 toyota coroola dx automatic 214Kmiles. Gears not shifting correctly until car warms up.

check level of transmission fluid --and may need to have filter and fluid changed

If the shift handle moves extremely freely (more than normal), changes are that the shift cable has become disconnected from the shift lever. This would explain the indicator not moving out of neutral.
You will need to access the shift lever by removing the console cover. Once you access the shifter check the cable connection to the level. If the cable is broken, it will need replacement. If the cable clip has broken or fallen off, it will need to be reattached.

I assume it is an auto by what you say. Is the O/D light blinking any codes? It is common in that model for the shift solenoids to fail, one or both, and the transmission then cannot find low gears forward.

Get a readout of trouble codes from a mobile come-to-you mechanic, or your own OBD reader, to see if that is it.

Refill as fluid level drops as torque converter refills.

Is it stuck in one gear only ?? does it correct itself after a restart ??

Change the fluid and filter. If i remember correctly reverse and third gear share the same band and clutch pack. Some transmissions you could tighten the band on it.

check your solenoid in transmission its for shifting gears try that first

my rear passenger door will not open with central locking bmw 728i

You probably have a problem with your CV joints. There is a device that helps in the shifting of gears that needs looking at. I assume it shifts to the other gears when it is warm ? How many miles do you have and are most of the miles on the highway? I hope this isn't leading to a transmission breakdown. Have you had the transmission serviced regularly and filter changed?

both modulator and needs serviced when servicing ck for debris in pan