Honky: When you cup your hands and sing into it, that is pretty much what honkiness is. This is a frequency buildup around 500-700 Hz, so cut in that area or boost the lows.
Nasal: Like when you pinch your nose and speak. This is very similar to honky except that it is a bit higher around 800-1000 Hz.
Radio-Filter: The most overused pop cliché out there. I wish everyone would stop doing this, but to do it properly you should know: Old radios had small speakers which meant poor bass response and sometimes weak highs as well. They also had poor construction which means limited dynamic range. So use high and low pass filters centered around 1 KHz. Most of the effect will be accomplished by the high-pass filter. The low pass filter can be adjusted to taste. Compress heavily to limit dynamic range.
Tinny: Sounds like it’s coming through a tin can. To me this also indicates peaky mids which would be a significant bump at around 1 KHz. Perhaps some high-end reverberations of a metallic variety. Can be remedied by boosting lows.