A calvinist doesn't address the problem you give them about calvinism and provide an explanation to resolve it...

Let's say you are counseling an unsaved person. You can't say Jesus died for that person if Jesus only died for the elect. Only Jesus knows who are the elect.

And it is not "glad tidings" (Acts 13.32, John 4.42). How could that message be "tidings of great joy" (Luke 2.10) to those whom the Savior did not come to save for whose sins He refused to die?

"And he [Christ] commanded us to preach unto people [not a select group]...that whosoever [among the people whom He preached] believeth in him shall receive remission of sins" (Acts 10.42-43).