Thanks for everyone's responses.
To answer your question, there is little to no play in the kingpins or any other suspension component.

Can someone tell me what the correct wheel offset should be? I had read somewhere that there is a difference between the 4/4 and plus 4 wheels, but I don't know what that difference is. If the offset is different I guess that it is possible the incorrect wheels were installed at some point.

The difference between a 165-80 and a 5.00 is about an inch (1/2" each side) which would make a significant difference.