I replaced a new battery in my 2010 xle Camry and the car won't start. The security light keeps flashing

SOURCE: trouble starting....

check battery connection. make sure terminals are clean. and make sure the terminals are not loose when connected

SOURCE: 1780 code

P1780 Park/Neutral Position Switch Malfunction (Only For A/T)
This code is related to a malfunction with the park neutral position switch, it's located on the transmission.
It maybe easier to get a Chilton manual from the autoparts store to locate the sensor/switch. The book runs about $20.
Replacing the switch/sensor may resolve the reverse light problem also.

SOURCE: Toyota Camry 95 V6 XLE Compressor

THE A.C COMPRESSOR BELT ALSO RUNS THE ALTERNATOR.AS OF YET THERE IS NO PULLEY U CAN INSTALL TO BYPASS THE A.C COMPRESSOR.SO YES YOUR A/C COMPRESSOR MUST TURN IN ORDER FOR THE ALTERNATOR BELT TO TURN.CALL AND A COUPLE OF ESTIMATES

SOURCE: 1992 Toyota Camry won't crank

Check the ground cable going from the battery to
alternator, then to chassis. Make sure there is no
rust at the chassis ground wire terminal, and that it
is very tight. The fusible link will be off the alternator
red power cable,usually, but not 100% on that car.
Good luck.

SOURCE: How do I reactivate the wireless remote control

To Program Wireless Remote Transmitters:
Begin with:
The driver's door open and unlocked.
Key out of the ignition.
1.Insert and remove the key from the ignition switch 2 times within 5 seconds.
Steps 2 and 3 should be performed within 40 seconds.
2.Close and open driver's door TWICE.
3.Insert the key into the ignition and remove it.
Steps 4 - 6 should be performed within 40 seconds.
4.Close and open the driver's door twice.
5.Insert the key into the ignition.
6.Close the door.
7.Turn the ignition switch from "Lock" to "On" and back to "Lock" at about 1 second intervals to select the desired mode:
1 time for ADD mode.
2 times for REWRITE mode.
3 times for CONFIRMATION mode.
5 times for PROHIBITION mode.
8.Remove the key from the ignition.
9.To confirm your mode selection, the power locks will now cycle "lock" to "unlock" a number of times corresponding to your key cycles in step 7.
If Confirmation or Prohibition modes have been selected, opening the door will complete the procedure.
10.For Add or Rewrite modes do the following within 40 seconds of Door Lock confirmation:
A.Press both transmitter Lock and Unlock buttons simultaneously between 1 and 1.5 seconds and release.
B.Within 3 seconds of step A press the transmitter Lock button for more than 1 second and release.
^If the transmitter has been successfully programmed, the power locks will cycle "lock" to "unlock" once at this time.
^If there are problems with the transmitter or the procedure up to this point, the locks will cycle twice. If this occurs, verify that you have received the correct transmitter, and then repeat the above procedure.
C.If multiple remotes are to be reprogrammed, repeat steps A and B.
11.Open the driver's door to conclude programming mode.