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So, the past exists presently.

The past is just part of the overall universe. The past is not the present, but, the physical past, including mass and energy, is still part of the universal constant. The past does influence what occurs in the present, but the present cannot influence the past. The present just becomes the past, constantly, while a new present comes into existence constantly. The universal constant includes the present and the past. We still have no means to measure the mass and energy that went into the past, but, it's manifesting itself as dark matter and dark energy.

If we were to go there would time stop in the present?

If we could travel to the past, our presence in the "present" would cease, but the present would just move to a new instance of the past, while a new "present" would come into existence. If a person were to travel to the past, he/she would cease to be in the present, and would continue existing only from the instance that he/she traveled to.

And could we come back to the same time in the present that we left,

Travel in time, is only to the past, and one way. A person would be stuck in the past, and would never be able to get back to whatever was the "present time" when he/she left.

or would we come back to a point in time that was as far along in time as the amount of time we were gone?

Once a person moves to the past, he/she is stuck in that past, but, as we know, that past would be the new "present time" for that traveler. That traveler would never be seen again by those that knew him/her before leaving for the past.