There is no power light near the connector because there is no LED there to light up
There is one at the front of the computer that is a battery light and it is simply glowing red - if there was a problem with the outlet, power cable, or connection to the laptop otherwise, Im not sure how that light shows red at all, especially after a couple days.
When I left it on the couch, none of the vents were obstructed - it was like keeping it on a table, honestly. I have had this laptop for about 4 or 5 years so its probably time for a replacement anyway. Now, I have the unenviable task of somehow getting all my data off the hard drive and on to my new laptop - I have no idea how to start that process, since the laptop wont even turn on