It's old an worn.
Here is your ATAPI DVD Dual 8X4X12:
http://www.cdrinfo.com/Sections/Reviews/Sp...?ArticleId=9283
You can try giving the laser lens a good cleaning and if you can find a firmware update, you may have better luck but for 25 bucks or less, you could have a new one.
Just because you are using Memorex and your friend gave you a Memorex disc does not mean that they are the same.
Your memorex is labeled as Disc ID: RITEKF1.
What does the disc that your friend gave you say?
I 23:26:18 Total Physical Memory: 2,094,864 KB - Available: 687,764 KB
Seeing that you have over 1gb of memory would suggest that you have programs running in the background. One of those programs may be causing this. Shut down all unnecessary programs and try again.
Your firmware could use an udate.
I 10:22:36 Destination Media Type: DVD+R DL (Disc ID: RICOHJPN-D01-67) (Speeds: 2.4x, 4x, 6x, 8x)
The only reliable DL media is Verbatim DVD+R DL 2.4x (MKM-001-00 dye) made in Singapore burned at 2.4x.
I 17:50:43 Destination Media Type: DVD+R DL (Disc ID: CMC MAG-D02-00) (Speeds: 2.4x)
Crap media. The only reliable DL media is Verbatim DVD+R DL 2.4x (MKM-001-00 dye) made in Singapore burned at 2.4x.