Hi! Sorry for not commenting before, I have been kinda busy, I hope my comment is useful for you.

I read your list and there are more meanings you can add to some of the words you have in Spanish.

Fix – arreglar.
Play – reproducir.
Hurt – herir.
Stand – pararse.
Blow – soplar.
Swing – Columpio (the game form the park).
Slide – deslizar (the action), toboggan (the game from the park).
Rock – Roca.

As for English I have learned that you “see” things that are steady, for example you see the table, you see chair. As for “watch”, you watch things in movement, for example "you watch a movie", "you watch the waves crashing to the rocks". And as for look, you look things closely, for example "you look the details of a fabric".

In Spanish, we have “ver”, “mirar” and “observar”. We use ver for things you see, but you don’t play much attention, for example "Tú ves personas a tu alrededor" (you see people around you). As for mirar, you pay more attention to seeing things, for example "Tú miras a una persona cuando hablan" (you look to a person when you talk). As for “observar” (observe), you pay closely attention, so you “ves” and “miras”, "Tú observas como actúa las personas" (you observe how people act).

Extra: Tú with an accent mark it means you, tu without accent mark it means your.