How to pass Calendar ID to include
Two things, the variable you send in is called calendarId, not id. Also, inside twig code (like the set function), you don't use twig tags, just the variables directly. Try to change the params object to:

{% set params = {
    calendarId: calendarId,
    dateRangeStart: 'today',
    dateRangeEnd: '+36 months'
} %}