What are the possible causes of the dtc po700 and po501 and po613 all together on my 2006 sebring convertible?

Ask google he will give yo the information

P0700
P0700 OBD II Trouble Code Transmission Control System Malfunction...
p0732
P0732 OBD II Trouble Code Gear 2 Incorrect Ratio YourMechanic Advice
p0733
P0733 OBD II Trouble Code Gear 3 Incorrect Ratio YourMechanic Advice

P0700 Transmission Control System Malfunction P0445 Evaporative Emission Control System Purge Control Valve Circuit Shorted P0442 Evaporative Emission Control System leak Detected (small leak) P0841 Transmission Fluid Pressure Sensor/Switch A Circuit Range/Performance P0846 Transmission Fluid Pressure Sensor/Switch B Circuit Range/Performance P0732 Gear 2 Incorrect Ratio
Full list of the OBD2 DTC from P0700 to P0999

Symptoms of a P0700 DTC may include:

• Malfunction Indicator Lamp (MIL) illumination
• The transmission may exhibit drivability problems like slipping, etc

More often then not, the cause of this code is that there is a transmission problem of some kind. The TCM detected the problem and set a code. P0700/PO700 means that a fault code is stored in the TCM. However this doesn't rule out the possibility of a failed PCM or TCM (unlikely).
For a P0700/PO730 the only real solution is to acquire a scan tool that will communicate with the transmission control module. Extracting this code from the TCM will be the first step in repairing the fault in the transmission.
If the TCM compatible scan tool will not communicate with the Transmission Control Module then that is a good indication that there may be a fault with the TCM itself.

Get it to a dealer or a trans shop and see if the tcm will communicate with a scan tool, the po700 dtc means it's strans code and the 605 normally means the tcm is shot! I see it more on sebrings then Neons but if it's the same engine and trans combo it's quite possible. If you drive it like that you can really damage the transmission so get it fixed asap.

DTC P0715 CHRYSLER - Input Speed Sensor 1 Circuit
P0715 is detected when TCM or ECM does not receive the proper signal from the sensor.

The input speed sensor detects the primary pulley revolution speed and sends a signal to the Transmission Control Module (TCM) and Engine Control Module (ECM).

Symptoms
- Engine Light ON (or Service Engine Soon Warning Light)
- Possible shifting problems

Possible causes
- Transmission speed sensor circuit is open or shorted.
- Poor transmission speed sensor circuit connection
- Faulty transmission speed sensor

Hope this clues helps to solve it.

DTC PO700 IS AUTOMATIC TRANSAXLE SYSTEM MALFUNCTION.POSSIBLE CAUSE WIRING OR FAULTY TCM.

PO700=Transaxel control system
PO740=Torque converter lock up. No RPM's
I would take a good look at the transmission.

SYMPTOM
P0320 - NO CRANK REFERENCE SIGNAL AT PCM

WHEN MONITORED
With the ignition ON.

SET CONDITION
No signal from the Crankshaft Position Sensor is present during engine cranking, and at least 3 Camshaft Position Sensor signals have occurred.

POSSIBLE CAUSES

• CKP signal circuit shorted to voltage
• Tone wheel/flexplate damaged
• 5 volt supply circuit open
• Irregular lab scope pattern of CKP signal
• Stray signal from the Camshaft Position Sensor
• Wiring harness intermittent problem
• Sensor ground circuit open
• CKP signal circuit open
• CKP signal circuit shorted to ground
• 5 volt supply circuit shorted to CKP signal circuit
• CKP signal circuit shorted to sensor ground circuit
• Powertrain Control Module (CKP signal circuit)
• Powertrain Control Module (sensor ground circuit)
• Crankshaft Position Sensor

SYMPTOM
P0700 - EATX CONTROLLER DTC PRESENT

WHEN MONITORED
Ignition key ON, Continuously.

SET CONDITION
Any DTC sets in the Transmission Control Module.

POSSIBLE CAUSES

• TCM DTC present set in PCM

Best to have a transmission place work on this.
Here are the meaning of the codes:
P0700 Transmission Control System Malfunction
P0740 Torque Converter Clutch Circuit Malfunction

It maybe cheap to fix like a bad sensor. Or it maybe something serious going on. Best to have a transmission shop check it out.
Good luck.