I also want to add he did not wash his had before touching his eye . I am not sure if he used the same finger
At 5 years, you are probably shedding 4 days a year. Chances of you shedding on that particular day are very slim.
Also, about half the adult population has oral hsv1, so chances are pretty good that he already has hsv2 antibodies, which would protect him from getting it again.
Fingering isn't an efficient way of transmitting any STD, and is considered safe.
Given the very low shedding rates and low recurrence rates of ghsv1, chances of you ever transmitting it to anyone are very slim.
So I shouldn’t be worried about him touching his eyes right afterward ?