With the first item... this could be a number of things, APM acting funky, or possibly RH doesn't compile their stock kernel with support for the dell 8000 series Inspirons. Yes, no kidding, there is a seperate kernel option just for your series laptop, something funky about its power management probably. First try rmmod'ing apm or acpi to start with, this will make it impossible to tell how much battery life there is, but hey, if it gets rid of the monitor annoyance...
You could also possibly have X-windows configured incorectly and this is making the monitor freak out. Check out what else people have had to say over at www.linux-laptop.net
Second, you're probably right, I just ignore Flash a lot, but the plug-ins are usually available through Macromedia's site... albeit a little buried. If they haven't built a new one for 6... there's nothing really you can do, aside from of course send them a nastigram.