Yes, there is parking available at Alamo Motel. The parking is free and located on site, making it convenient for guests. It is a public parking area and there is no need to make a reservation in advance.

The Alamo Motel offers a Deluxe Family Room with 2 double beds and 1 queen size bed, accommodating 6 adults. There is also a Double Room with Two Double Beds, a Non-Smoking Queen Room, a Non-Smoking Queen Room with Two Queen Beds, and a Queen Room that allows smoking. The Double Room with Two Double Beds and Non-Smoking Queen Room both accommodate 4 adults, while the Non-Smoking Queen Room with Two Queen Beds and Queen Room accommodate 2 adults each. The Queen Room is the only room that has a twin bed. All smoking rooms are labeled as "Smoking".

Based on the given data about the Alamo Motel, it is stated that the hotel is an "adults only" accommodation. However, no other information about leisure amenities is provided. Therefore, it is difficult to determine specifically how guests can spend their time at the hotel.

However, typically, hotels provide various leisure amenities to enhance guests' experiences. Some possible options for guests to spend their time at the Alamo Motel might include a swimming pool, fitness center, spa, lounge area, or a restaurant/bar. These amenities could offer guests opportunities to relax, exercise, enjoy food and beverages, or socialize.

Since no specific amenities are mentioned in the provided data, guests would need to contact the Alamo Motel directly or visit its website to inquire about the available amenities and how they can spend their time at the hotel.