Hey taylor,
Your examples are correct! The difference between acordarse and recordar is very subtle and it is easy to use them wrong. It seems that you have a good understanding of them but here is a quick explanation i gave a student of mine about it.
Recordar needs a direct object, we would say ‘recordar algo, to remember something. For example, ‘Que recuerdas de ese dia?’ What do you remember from that day. ‘Recuerdo que era un dia oscuro’, I remember that it was a dark day’. As you can see there is a direct object, which is the thing that you remember.
Whereas acordarse is what we call a prenominal verbs, meaning that we need to have a reflexive pronoun (me, te, se, etc). So following up with the same example, ‘Te acuerdas de ese dia?’ Do you remember that day?. ‘Si, me acuerdo de ese dia’ Yes, i remember that day. As you can see we used the reflexive pronouns ‘te’ and ‘me’ and also the proposition ‘de’. So directly translated (which you shouldn’t do!) is more of ‘remembering of something’.
In my example, ‘te acuerdas de ese dia?’ , it means do you remember of that day. Almost like the direct object is already given to us.
Another example, ‘te acuerdas de la cancion?’ Do you remember the song?
It may be a little confusing but I am happy to further explain! In English we only have one remember so spliting into 2 can be challenging but possible!