The first thing I would do is reverse the values of the scale so that 1 = strongly disagree and 5 = strongly agree. This change allows to better understand that the greater the agreement with the item, the higher the score. Secondly, I would perform an exploratory factor analysis to check how the items in the questionnaire are grouped (factors). Then, I would estimate the mean scores and deviations of each factor based on the number of items. With these scores, you can already do a lot of analysis.
The first thing I would do is reverse the values of the scale so that 1 = strongly disagree and 5 = strongly agree. This change allows to better understand that the greater the agreement with the item, the higher the score. Secondly, I would perform an exploratory factor analysis to check how the items in the questionnaire are grouped (factors). Then, I would estimate the mean scores and deviations of each factor based on the number of items. With these scores, you can already do a lot of analysis.
Analyzes depend on the objectives or hypothesis you want to test. The sample size and the characteristics of the questionnaire used to measure engagement must also be considered.
As Cardenas noted the statistical analysis depends on the hypotheses and objectives of the study, send me the hypotheses in any language you like and will do my best to help you