According to Lenz's Law both loops will have anticlockwise current induced because magnetic flux is increasing for both (in the same direction).
Also, in closed loops in changing magnetic fields, electric potential is "not defined" at a point due to circular electric field lines. Increasing or decreasing magnetic field produces circular electric fields. There is also no general potential between the two loops, like there is no general potential between two batteries. Connecting one terminal of the first with one of the second battery brings them to the same potential, and only then, you will have a potential between the unconnected terminals.
Also, you know that any current carrying wire has circular magnetic fields around it. In this case if the connecting wire carries a current then the changing external magnetic field will tend to intersect with the magnetic fields of the connecting wire. But magnetic field lines normally do not intersect.. So it is reasonable to assume that the no current flows through the connecting wire.