Potentially the H-screw could be backed off slightly, to open the gap out between the teeth of the guide pulley and the sprocket teeth - the current gap looks a little narrow for the chain links to pass through as you shift from second to largest, to largest, which may be "blocking" the shift slightly.
To set the H-screw, we advise making a known change (1/4 turn, half-turn etc), shifting to the next smallest sprocket then shifting back - because you are changing the relative tensions on two springs and there is a degree of friction / inertia in each spring to overcome, you need to induce movement of the spring coils over themselves by actuating a shift to properly see the effect of tension changes.