I'm just curious to know of prophet Mohammad had performed any of the so-called miracles, like walking on water, bringing back dead to life, etc......
Yes, the main one is the Quran.
All messengers of Allah peace and blessings be upon them all, were given the ability to perform miracles. They all did so with Allah's permission.
One of Mohammad's pbuh miracles was that he was able to split the moon in half.
Another was Mohammad pbuh accepted an invitation, to the host’s dismay, called all thousand of his companions to join him in the meal. Yet, Muhammad personally served all of them from the small dish until each one ate his fill. In the end, the tray of food remained just as full as it was at the beginning of the meal.
Mohammad pbuh and his companions may Allah be pleased with them, were travelling. There water supply ran out and Mohammad had a small water container and he put in his hands and water started pouring out of his fingers enough for all and more.
There were many many more miracles example like prayers answered, sickness healed etc.