Is the house you're considering adjacent to the park? Being a direct neighbor of the school could be an issue.
Note: I have a Master's in City Planning and am the former Chief Housing Planner for the City of Boston in addition to being a Realtor for 30+ years.
We answer hundreds of questions per month from clients just like you, except they consistently WANT to know about the closest schools and what district the house is located in at present. All this said, being close to a school can be fantastic for resale values especially if the school ends up being rated very well. People love parks but the bedroom community of Kensington is equally fond of schools as well. If I can be of further assistance please let me know.
All the Best!