Is it permissible to go to a cafe where there are fewer objectionable things to have lunch (with female cousins and without a mahram), and is it obligatory to completely avoid the public park, or only the suspicious areas within it?

It is forbidden to go to cafes that include evil things like alcohol, dancing, and musical instruments, based on the Almighty's saying: "And those who do not bear witness to falsehood." As for cafes where evil things are less, such as the mixing of men and women, it is permissible to enter them when there is a need, while avoiding evil things. Regarding public parks, it is permissible to enter them if places of evil are avoided. A mahram (definition) is required for a woman when traveling, but in places of residence, only the safety from temptation and the absence of suspicion are required.