Sonja Lyuborminsky drew my attention to this in The How of Happiness. Here is the link to the inventory.
Can happiness be measured? The Oxford Happiness Questionnaire attempts to do just that. Developed by Michael Argyle and Peter Hills of Oxford Brookes University, and originally published in 2002 in the Journal of Personality and Individual Differences, it’s one several measures of “subjective wellbeing” (aka happiness) constructed by scientific research psychologists.
You might try the assessment several times over some extended period: take the questionnaire now, and return at a later date to take it again, comparing scores (perhaps after trying some exercises to increase happiness). There are just 29 questions, so it won’t take long.