Am I using 'thus' correctly in this paragraph?

Thus vs Therefore vs Hence

Thus and therefore can both work in some situations, but I believe therefore would be a more appropriate word for you in this particular context.

Thus means in this/that way - it relates to HOW - the manner in which - this or that happens or comes about. It has a practical flavour. eg. Burke knocked out Byrne, thus becoming champion (consequently)

Therefore means for this reason, or because of this or that - it relates to deductive reasoning, it tells WHY this or that is so, or happened. eg. i He was late and therefore missed the bus = he was late and for this reason missed the bus. ii Payment was received two weeks after it was due; therefore, you will be charged a late fee.

Hence means from this/that - it relates to WHERE - position, or point in time; it tells from where or what, or to where or what, something comes, derives, or goes. eg. He wrote to his sister, hence his pride.