Would capitalize public park in a sentence?
It is capitalized when it forms part of the proper noun.
Example:
Syney Public Park
Can you smoke at national parks?
Usually, it's OK to smoke in national parks, except when there is extreme fire danger. When conditions are such that a fire could start easily, there could be a ban on all open flames and people may be asked to smoke only inside their automobiles. Smoking is not allowed inside or within 25 feet of federal buildings and facitilies, like caves.
There is no official definition of quasi-military and the meaning of the term has not been made. Usually, it is permissible for the government to hire armed guards.