@Amy532I did find your listing in search results and your listing seems to be active, but it took quite a bit of work. Even if I searched Longs specifically, Airbnb was showing me places in Myrtle Beach. That could be one of the reasons why.
Here's an article that talks about your ranking in search results, and it may help with helping you move up:
https://www.airbnb.ca/help/article/39/what-factors-determine-how-my-listing-appears-in-search-result...
It seems like you're doing a lot right: you have good reviews and you're responding to all of your requests, and quickly. Having Instant Book turned on does make a big difference in your search results; I would consider turning it on, but that's very much a choice you need to make based on your personal comfort.
Your listing is really cute, and I like the authentic tone of your written description: it's good.
I think your photos could use some improvements, though: there are some blurry ones. Also, photos look better in landscape format on Airbnb. Pictures of the room should come before pictures of plants, your pets, etc. I think it's a good idea to have pics of your pets, though: not everyone reads, and it's good to have pictures reinforcing the details of your listing wherever possible. It would also be good to have a picture of the bathroom and of any common areas inside the house.