Looking good, Joe.
Dyes tend to accentuate the figure in the wood, while pigment stains tend to enhance the grain.
It can get confusing though, because some products labeled as wood stain are actually dyes and it varies within a product line.
You can tell by stirring the contents of the can. Some pigments will settle to the bottom of the can and some will be stuck to the end of your stir-stick. If no gunk is on the end of your stir-stick after stirring, it is a dye.
So, use a dye to augment the figure.
Use a pigment stain to enhance the grain.
Use both if you want to accentuate both the figure and the grain.
As for Tung Oil--I don't believe the word "finish" was a clue, but beyond that it can get confusing as to which products are pure Tung Oil and which are even true Tung Oil. You might try googling it for more information. True Tung Oil tends to be pretty pricy, so you may have bought the real deal.
Waterlox is a Tung Oil and Resin blend to make it more durable than pure Tung Oil. People generally really like Waterlox.
Make sure you lay out any rags used with Tung Oil or Boiled Linseed Oil and allow them to fully air-dry before disposing them, to avoid Spontaneous Combustion. Google it if you don't believe me, folks. It is a risk you don't need to take. Play it safe.
Hope this helps.