Yes, either ungroup or double click on the object you want to change until you get it by itself in isolation mode. Individual objects can also be selected from the layers palette.
The fastest way is probably to use the white direct selection arrow to pick a point or line if the desired object - changing color at that point will change the entire connected object. There’s a million ways to do just about anything in AI.
Ok, new question. I adjusted the height for 6 coasters and made the holder out of PG Basswood Plywood; turned out lovely except the holes in the base were too thick for the “mushrooms” (not sure what happened there). Now I’m trying to cut out the original file (4 coasters) out of Lauan Plywood from Lowes and no matter what I do I can’t get the shapes to fully cut through. I used Speed:182, Power: full, Focus Height: 0.209 and tried 1 and 2 passes; no go. The pieces won’t cut. Am I doing something wrong?
Can’t discuss settings in this forum, but that speed is WAY higher than I use for lauan ply on FULL power with my Pro model.
Then would too high a speed cause it not to cut all the way through? I’m still trying to understand generally what happens when settings change and how people know when they need to up the speed or drop the power, etc. I still don’t quite understand the correlation.
Correct me if I’m wrong:
Higher speed = less cutting power?
Lower speed = more cutting power?
Lower power = ??? What? What typically happens?
Should you always use FULL power when cutting? Or are there times where you don’t want that? 
Have you read this? https://support.glowforge.com/hc/en-us/articles/360033633574-Working-With-Manual-Mode
Yes, I did 
It sometimes takes me a bit to really wrap my brain around new ideas and things I’m unfamiliar with. The explanation in the GF material isn’t as detailed and hasn’t stuck with me yet. I probably just need to read it again 
Carolyn
Think about using it like you would a knife of flame. You are burning the material not actually cutting it. The longer the fire is in contact with the material, the more material gets burned.
So when you slow a laser beam down it burns deeper. (Cuts all the way through.) Higher power is hotter flame, so again, it burns more. You always have to think about the two in combination.
The ideal situation is going only as fast as is needed at full power to get all the way through the material in one pass, so that’s what the defaults are set for on the PG plywood. You can slow it down by about 5 or 10 points if it’s not quite cutting through in one pass.
For other materials, which can be EXTREMELY different from the PG plywood, start with the PG plywood settings and do test cases on a scrap until you get the correct settings for that material.
Use full power on woods, and if it doesn’t cut all the way through a 1" square, slow it down by ten points and try again. Keep doing that until it does. Make note of the final settings or set up a Custom Setting for the material once you determine what works best.
Higher speed = less cutting power? YES
Lower speed = more cutting power? YES
Lower power = ??? What? LESS CUTTING POWER
Should you always use FULL power when cutting? It depends on your project, your material and the effect you want to get (full power on paper is way overkill no matter what speed)
Or are there times where you don’t want that? You’d want to test until you get familiar with your materials. Generally, higher power and speed cuts reduces char and potentially kerf. Another way to get “more cutting power” or deal with incomplete cuts is to run multiple passes.
Thank you for the share.