There's a fix you can do (and I did) if your PS2 has difficulty reading discs. It involves taking the thing to bits but it's pretty straightforward and, at this stage, the warranty isn't going to be a concern.
I'm almost certain this is the guide I used back in... 2006 after Hitman: Blood Money came out and my PS2 struggled to run it:
http://arstechnica.com/gaming/2003/11/ps2-repair-guide/1/
You can also do a bit of dusting in there while you've got the top off. It took less than an hour to do if I remember correctly and my PS2 was at still functional when I boxed it up a year or so later.
