That is not the Actions window, that is the Movie Explorer window. The Actions window is shown to the right, with all the blue coloring and actions code in it.
The little red dots probably just mean the object is on the stage/timeline, since that is what the Movie Explorer displays.
Also, the actions code you show is AS2 and this is an AS3 forum, so you probably need to post in a more appropriate forum if you have further questions on your project. If the question does not concern actionscript, then try posting in the general Flash forum.
OK, I think I might have figured this out.
First. You guys keep insisting it's the Movie Explorer. It is not. It is the Actions Panel. You can see for yourself. Option+F9 opens the Actions Panel. Option+F3 opens the 'Explorer Window'. They are similar in appearance but they're not the same thing. They're just not.
Second. I believe that the red dots on the movieclips, and also buttons, indicates when there is actionscript directly on the movieclip and/or button, as oppose to actionscript written on a frame within a movie clip and/or button.
You really have to pay special attention to the top of the Actions Panel right next to where it says 'Actions' there's a dash '–' and then it says either 'Frame', 'Movie Clip', or 'Button'. This indicates exactly where you're about to write script to, or where you're reading the script from, so it's important to pay attention to this.
That left side pane, in the Actions Panel, is divided by 'Scene' and by 'Symbol Definition(s)' and it's confusing because it's possible to have a symbol appear more than once depening on where the actionscript is located (i.e. on a frame or on the movie clip or button itself).
For example if you have script on a FRAME within movie clip A, it'll appear in the SYMBOL DEFINITION(S) pane, without a red box, but if you were to write script on movie clip A itself, it would still not have the red box on it in the SYMBOL DEFINITION(S) pane, BUT it would appear again as movie clip A in the SCENE pane, and this time it would appear with the red box next to it, casue it now has actionscript directly on the movie clip itself. Wow, how confusing is that ha.
Keep in mind that if you made a movie clip B, within movie clip A, and if you placed actionscripts directly on movie clip B, NOT on a frame, then movie clip B would get a red box and appear UNDER movie clip A, within the SYMBOL DEFINITION(S) pane, NOT the SCENE pane. Ha.
If you wrote script on a FRAME within movie clip B it would appear in the SYMBOL DEFINITION(S) again, yes a second time, twice, but WITHOUT a red box. Confused yet? ha.
I don't know why Flash decided to do it this way. But it starts to make sense when you're actually viewing it, when it's in front of you. I think this is just for actionscript 2.0 (and for actionscript 1.0 presumably), but I don't think this is the case for ActionScript 3.0, because in as3 it's all instance name based, and targeting based, so there's no such thing as writing script directly onto a symbol of any kind, button, movie clip or otherwise.
But yeah, that's it in a nutshell.
Thanks for trying to help anyway.