Xbox 360 CD-Drive replacement question?

Recently, my girlfriend's brother's Xbox 360 CD-drive crapped out on him. It apparently stopped reading his games. So, out of anger, he kicked it against the wall. However, the damn thing still works! And he agreed to give it to me. So now I have to replace the CD-drive. Luckily, I have Xbox repair experience, since I've had to fix three other Xbox's with overheating problems already. Anyways, I went back to my home town in Texas over spring break to visit my friends and family, and snagged an Xbox 360 drive that I already had from a friend's old broken box. When I finally came back home to good ol' Iowa, I installed it to find that I've only brought it back half-way from the dead. It only play DVDs, not games. So I thought, "Hey! At least I have a free DVD player!" I've always wanted an Xbox though, and Halo 3 is never coming to PC, AND I HAVE A COPY FOR 360 for Christ's sake (don't ask why, I'm just good at getting free ****). So I figured enough is enough, I'm fixing this *****. The reason it doesn't work is obvious to me now. Simply because my friend's old Xbox was an earlier model than this one. Much earlier. So I need to buy a new drive. I've done my homework and found that Xbox's that are manufactured after June 2008, use this Philips LiteOn drive here:

http://store.richspsxparts.com/phlidgxb360d.html

I checked the MFR date on my half zombie 360 to find it was manufactured on August 15, 2008. Great! Hooray, this might work. So pretty much my question is, if I buy this and replace it, will it bring my Xbox back from the dead? Will it play games that stupid game designers don't release for PC because they're gay and too scared to lose a little profit to pirates?

Also if someone knows a place where I can find a drive for cheaper, let me know!