Hey bmadd, welcome to the forum. Sounds like you've been having a blast.
The top one looks like a "Black Gnat"-- they can be tied as wet flies or as dry flies.
The wet fly version usually has a red tail like the one in the pic, dries usually have a black tail.
Not sure what the beadhead pattern is- it might be someone's secret pattern--- does your buddy tie?
The good news though is that bluegills usually aren't too picky in terms of patterns. Here are some suggestions of some widely available patterns. Don't feel you need to get all of them, but it would be good to have some that cover different layers of the water column top, middepth and deeper..
If you can find some stuff for top water like:
foam spiders with rubber legs size 10 or 12
small poppers size 10 or 12
bushy, heavily hackled dry fly patterns like Royal Wulff, Humpy size 10 or 12
Grasshopper patterns size 8 or 10
Some subsurface patterns
Soft Hackle Peacock and Partridge or Orange and Peacock size 10 or 12
Wet fly like a McGinty, or Black Gnat size 10 or 12
Girdle bug size 10 or 12
Some heavier weighted patterns
beadhead nymph like a Gold Ribbed Hares Ear, or Prince Nymph 10 or 12
beadhead woolly bugger size 8 or 10
Hope this helps a bit. Again welcome to the forum!