Code p0700 and 70-03

P0700 means the transmission control system has informed the Engine Control Unit (ECU or PCM ) that an error has been detected and the PCM turns the Malfunction Indicator (MIL) on.

As to 70-03, I am not sure what you are referring to as different code reader/scan tools would have different codes. I need the ODB-II code, as this is universal) to understand the problem.

The shaking and self accelerating should be due to engine surging when the idling speed moves up and down when transmission is in neutral. That could be due to insufficient coolant in system, fault in the idle control system or dirty throttle body and IAC.

Let me know of all the ODB-II codes and we shall see what we come up with.

i have 2 erros 10-02 iat sensor circuit high voltage
70-03 a/t system malfuncion heelp

Code 70-03 is flash codes refering to a fault with the shift solenoid A of the transmission. OBD-II code would be more accureate in determining if it is stuck on or off.

Code 10-02 is a fault with the IAT. Check the connector and erase the trouble codes and retest to see if ptoblem comes back.

Good day recommendations for the codes 70-3 (p700) and 53-01 (p1887). What would be the faults?
Thank you

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Could you please use this link and ask this as a new question, and please provide as much information as possible as you have one code that is vehicle specific.
https://www.2carpros.com/questions/new

As for the codes you show.
P0700 is a non-code. It shows up only to tell you that there is a real code stored in the transmission control system.

The P1887 code is specific to the year/make/model/engine/transmission you have.
For instance for one vehicle maker it is listed as a bad ABS speed sensor input while another company has the same code but for them it means the torque converter clutch isn't engaging.