RW media is trickier on stand alone players. They are great to expirament/pow around with,but there's a higher chance of compatability issues when slapping those backups on a lot of different drives.
Your player and pc plays it ok: Your bro's player is telling you something is wrong with it,usually compatability-which it'll show a No disc/Dirty disc/Wrong region/Wrong format/or illegal disc message after the disc is inserted.
With this compatatability issue,you'll have to find the correct format of media that suits all your drives and your bro's player.It may be simple as going with +r/-r/or -RW.
Other things can also contribute to that issue: Media quality,programs being used,sticker labels,burned too fast,etc. There's a slew of things that can give picky players fits when trying to read dvd backups.
Post back the answers to the following questions:
1) What's the brand name,model#,and current firmware version of your DVD-RW drive?
2) What's the MID code of your +RW media?
This free program will give you the answers to those questions:
Depending on your drive,the best way to fix this little issue is to booktype those +rw's to dvd-rom. This fools players into thinking they are the dvd-rom format,which original dvds are. Post back the info any hopefully your drive has that booktyping (Bitsetting) capability.
Thats alot of variables to take in, i guess i have to decide if its worth it, i dont want to buy different format disks when the ones i use work for me. I will sleep on it