Correct, an inner ground plane design is generally an excellent choice for EMC purposes.
Whether it matters, depends on everything -- testing levels, components, routing and layout, etc.
2-layer boards can be nearly as good as 4-layer, when both sides are poured with ground, and the pours are stitched with vias at regular intervals, with priority given to certain inner or outer corners, trace crossings, and component pins. As long as traces/buses are always routed over one plane, and openings through both layers are kept to a minimum (pay attention to the negative space around traces, rows of pads, etc., especially where they are crossing!), the EM environment is very similar to that of a 4-layer board.
Of the signals listed, USB is probably the biggest concern, but it's not obvious if it's actually routed on board, or present in a separate module. If module, there is the different concern, that the connections between modules are well shielded, and that the modules are compatible with the test levels in the first place. Shielding of USB can vary wildly with quality of connectors and cables; cheap products abound.
Tim