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P0700 sets in the engine controller when there is a code stored in the trans controller. This one is nothing to worry about, it just tells you to read codes from the trans controller. There was at least one more code stored. Do you have that code number written down also?
P0135 is for a failure of the heater in the upstream oxygen sensor. This is the sensor threaded into the rear exhaust manifold. This is very likely the sensor itself that has failed.
P0605 is the code stored in the trans controller, and is the cause of your trans going into limp-in. P0605 sets when the TCM is failing internal self tests. It goes through tests where it writes values to it's memory and then rechecks them. If the data is wrong or missing then the self test fails and this code sets. Nothing external will need to be tested or diagnosed, the problem is internal in the TCM and it will need to be replaced.