No, the term 'local park' is not the name of something specific, it's a term for any local park, a common noun which is not capitalized.
A proper noun for 'local park' is Saint Mary's Park in the Bronx, NY or Wright Park in Tacoma, WA.
Seems to me it would be, "Kentucky Horse Park is a beautiful park.", but I am just guessing that you have meant for the proper, full name of the horse park to be Kentucky Horse Park or even The Kentucky Horse Park.
I will be at the park feeding the duck at 3 p.m.
No, the correct form in this case is "too". "To" would be used if you were talking about going to the shops or the park.
Yes, this sentence is grammatically correct. Here are some examples:You went to the water park on Monday with your friend Joey.I went to the water park on Monday with my friends.
Yes, the sentence "the boy and the rabbit are in the park" is grammatically correct. It correctly uses subject-verb agreement, where the plural subjects "the boy and the rabbit" are matched with the plural verb "are."
We had fun at Prairie Trail Park.The W in we as it is the start of a sentence and Prairie Trail Park as it is a place name/ proper noun.
The correct spelling is skate.An example sentence is: "he likes to skate down the park".
Our family visited Lincoln Park, and I bought an animal postcard.
Both are correct, but it depends on whether this phrase is the subject of the sentence or the object: grandmother and I went to the park. They bought lunch for grandmother and me.
My daughter is involved in a movement to decimate the local park by keeping its grounds clean.
No, it is not correct. I contains a very common mistake of using "I" as an object when it is part of a compound object (of the preposition "with"). "I" is correct as a subject; "me" is correct as an object. The easiest way to determine whether to use "I" or "me" is to try the same sentence with "I" or "me" alone--leaving "my friends" out of it for this test. You would say, "Can you come with me to Central Park?" You would never say, "Can you come with I to Central Park?" This tells you that you need to use the objective form, "me": "Can you come with my friends and me to Central Park?" No it's correct
Park is a noun in that sentence.