Good exchange until the end.

That St Matthew reported the miracles & recorded them, that he memorialized for all time the expressions I gave above (worship, Lord of the Sabbath, etc. etc.) tells us he understood Jesus to be God.

It may have taken work a few years for the Church to sort it out, resulting in the beautiful Athanasian Creed, but that's the culmination of Jesus's words and the Holy Spirit working through the people who were successively given the keys to the kingdom. 

Other marvelous 'Jesus as God' references in St Matthew include the whole discussion with the pharisees entirely on the question of Jesus as God....."the Lord said to My Lord...if David thus calls him Lord, who is he his son?"

Even expressions of Jesus such as "and everyone who has left houses...for my name's sake..." tell us what St Matthew thought. 

And "for where two or three are gathered in my name..."

The "name" construction meant a lot more then to the people than it does sadly today.