First, try some graphical analyses, it is always helpful.
Then, look at fixed effect Poisson regression; fixed effect because I understand that you have several observations per individual. Poisson because your dependent variable is made of positive integers.
At a later stage, you may be interested on fixed-effect ordered models such as fixed-effect ordered models. Some comparison and implementation (in Stata) is provided for instance in
Dickerson, A., Hole, A. R., & Munford, L. A. (2014). The relationship between well-being and commuting revisited: does the choice of methodology matter?. Regional Science and Urban Economics, 49, 321-329. https://www.sciencedirect.com/science/article/pii/S016604621400101X