Skipping bore meore aesh

For this Shabbat/Rosh Ashana weekend, if one makes the beraha on electric light on erev Shabbat, it follows that on the 2nd day you would skip the beraha of bore meore aesh altogether during havdala, am I wrong?

Thanks!

Correct

What if I forgot to make bore meore ha’esh but we did the havdalah with wine after Yom Tov? Do I need to go back and say it?

Nope