Heaven is distinctive to Christianity, because Heaven is based upon love, and love requires other person's and beings; love is mutual, dynamic, open-ended, potentially endless...
Whereas, Paradise is self-gratification, that is a world devoted to My gratification.
Paradise excludes Heaven, if Heaven contains persons, because persons are free agents and never can be dedicated to 'My' self-gratification - they have real independence of being.
Heaven is a post-mortal place and state of persons and beings who have aligned with the creator and creation, by affiliation with Jesus Christ and with those who have made this affiliation ( "Christians").
Paradise has one real person only, everything else being under that person's ultimate control.
Heaven is a family of friends and relations, Paradise a tyranny of one Master and many slaves.