[ohohyodafarted]

If the horizontal oscillator is operating you should be able to draw an arc off the cap of the horizontal output tube. Take a long flat bladed screwdriver, and attach a ground wire to the shaft of the screwdriver. Elevate the cap on the horizontal output tube and carefully move the blade of the screwdriver under the cap to come into contact with the metal cap on the tube. You should be able to withdraw the tip of the screwdriver slowly and draw an arc off the metal cap on the tube. The insulated plastic plate cap must be connected to the metal cap on the tube. If the plate wire is disconnected from the metal cap on the tube you will not get an arc.

Assuming you do get an arc from the metal cap on the horizontal output tube, to the grounded tip of the screwdriver blade, then you can assume the horizontal oscillator is functioning. So if you get an arc to the screwdriver and no high voltage from the flyback, then you can suspect that the flyback may be defective, or you may have something else wrong in the HV cage.

Also, take the cap off the shunt regulator (usually a 6bk4) just in case your shunt regulator is dragging down the HV.

If you fail to get an arc off the horizontal output tube plate cap, then your horizontal oscillator might not be operating. IF this is the case, you will often see the plates of the horizontal output tube glow red hot. If the plates glow red hot, then disconnect the plate cap on the horizontal output tube so you don't risk damaging the flyback during further testing. Failure of the horizontal oscillator circuit, will prevent you from getting HV. That could be as simple as a defective Hor Osc tube or any of a bunch of other causes. Some sets were equipped with a fuse in the HV section that will blow if the Hor Oscilator stops running.

WRT the burning smell... look for a burnt resistor.

In any event you are going to need a schematic and some basic tools such as a volt meter to check voltages. I would start with the power supply. If it has the original power supply filter cans, feel them to see if any of them are getting warm. A warm filter can is a sure sign it is leaking or shorted.

Are you using extension cables to run the chassis outside the cabinet? If so did you make them and are you sure they are made and/or working correctly.

Good Luck, You are about to learn the basics of trouble shooting.