As an AI language model, I don't have browsing capabilities to verify some of the details about Dr. Martin Luther King Jr Memorial Park in the state of New Mexico. Therefore, I will provide some general information about the park.

Dr. Martin Luther King Jr Memorial Park is a public park located in Albuquerque, New Mexico. It was built in 1986 as a tribute to Martin Luther King Jr's contributions to civil rights in America. The park covers over five acres and includes a number of features that make it a popular destination for locals and visitors alike.

One of the main attractions of the park is the large bronze statue of Martin Luther King Jr, which stands at the center of the park. Visitors can take a walk around the statue and learn about King's life and his work towards the civil rights movement. Other points of interest in the park include a number of picnic areas, basketball courts, and a children's playground.

The park is also located near a number of other points of interest, such as the Albuquerque Museum and the New Mexico Museum of Natural History and Science, making it a great place to spend a day exploring the area.

As for the best time of year to visit, the park is open year-round and can be enjoyed in all seasons. However, visitors should be aware that summers in Albuquerque can be quite hot, with temperatures often exceeding 90 degrees Fahrenheit. Therefore, the best time to visit the park may be during the spring or fall when the weather is cooler.

Overall, Dr. Martin Luther King Jr Memorial Park is a great destination for anyone interested in learning about one of the most influential figures in American history and enjoying some outdoor recreation in Albuquerque.