This home seems to be on Los Encinos #334 in Westwinds Park, Alviso/North San Jose in Santa Clara Unified School District. I don't believe it is a senior park, and if the rules are the same as the last time I sold in this park (pretty many years ago) and at that time you could have small pets too. There are other listings in this park on the MLS, but my experience is that many more are for sale and if you drive around, you can read the "for sale" signs on the houses and call from those signs. Often you will find homes are for sale but the listing agreement with the realtor may have expired or the seller has not gotten into an agreement with a realtor. So walking or driving around is a good way to make sure you know everything that is available in any given park. This one has low space rent, so that typically means it has not changed hands a whole bunch of times.
For Park rules, best to call the park and ask them directly:
Westwinds Mobile Home Park
500 Nicholson Ln
San Jose, CA 95134