Ditto on the advice the BBQ should be separate either away from or on top of the wall, the new wall should be continuous.
The existing wall's height, soil type/water content, construction (footing width, tiebacks etc) would help you determine how to build the new terraced layout. Realistically though you probably can't come up with that detailed information. So as a minimum, with the new wall being only 2 or 3 courses high, if you keep the distance away from the old wall at least 2X the height of the new wall that should prevent you from having to hold the upper wall's surcharge with this lower wall. Water drainage behind your new wall is critical, as it looks like the well drained existing wall (CMU weeps at 16"o.c. + the stone joints) is what is keeping it held up.
The existing wall's height, soil type/water content, construction (footing width, tiebacks etc) would help you determine how to build the new terraced layout. Realistically though you probably can't come up with that detailed information. So as a minimum, with the new wall being only 2 or 3 courses high, if you keep the distance away from the old wall at least 2X the height of the new wall that should prevent you from having to hold the upper wall's surcharge with this lower wall. Water drainage behind your new wall is critical, as it looks like the well drained existing wall (CMU weeps at 16"o.c. + the stone joints) is what is keeping it held up.