I won't worry about the cable pull being wrinkled. You may want to look underneath the pull to inspect the keyboard connector (reference Step 48 in this guide [guide|167656] does it look messed up or missing the ZIF cable latch?
The areas I look at is the screws for excessive wear marks and to gage the usage I look at the fan blades and the lyric board for dust traces. From what I see in these limited views it looks like someone changed their minds or it was sold after an evaluation (YouTube or publication house Mac geek)
Assuming the connection looks good I think you have a good system. I would make sure you can see the system within Find My Mac service as yours with your own unique system name.
A dead battery is not uncommon when sitting unused. If you do store the system away make sure to have only a 50~60% charge not flat and not full.