Would someone be able to give some insight on the difference between the hops pellets, plugs, and whole hops?
Hop plugs are whole hops that have been compressed. Pellets are hops that have been ground up and run through a pelletizer. IMO, no one form is necessarily better than another. I tend to prefer pellets when I buy continental hops becasue they keep better.
And they take up less space, so that you can get obsessive amounts of German/Czech hops in your freezer. I know this to be true.
My system works a little better with whole hops, though.
Edit - Plugs are harder to find these days. They were used in England for dry hopping in the cask, just put the correct number in and fill the cask. Those were 1/2 oz. plugs.
You get a little bit better utilization from pellets than whole cones. Pellets absorb less wort, so that may be an advantage in beers that use a large quantity of hops.
In favor of whole cones is that there is the potential to lose some of the delicate hop oils during the pelletizing process, and although I haven’t been able to distinguish a difference in my experience. Whole cones are also better suited to things like hop backs and Randalls.
I prefer to buy pellets when I can to save space in my hop hoard, but I wouldn’t think twice about buying whole hops if that’s the only way to get a certain variety.
Home grown hops are usually whole. 
+1 to everything above. I find whole hops to be easier to clean up. I use muslin sacks and just toss in, drain and throw out when done. Straining to primary is much easier and my wort is very clean. I make a lot of light lagers and reuse my yeast so this is important to me, not necessarily the brewing process itself.
Dave