Identifying Knob-and-Tube
The best way to see if you have knob and tube wiring is to inspect the attic and see if is running through the rafters up there. Other than that you can open up a switch or receptacle and look for small ceramic "tubes" that will be used for bushing in the boxes. Also knob and tube is an ungrounded system so look for receptacles that have only two slots instead of three and of course ground wires in any boxes.

The areas that are remodeled thirty years ago would have to be wired under the 1984 code which would include ground wires, but that does not mean the areas that weren't touched by the remodel would be updated even though it would have been a good idea. Usually what happens is the Panel is upgraded and maybe relocated and the new addition is run and the existing wiring is back fed into the new Panel.