Intel's DTS is not accurate at idle, it can easily drift 10C in either direction.
Anyway, I have utterly no idea what all the fuss is over. Nothing looks remotely wrong with the temps posted, and I doubt they will improve significantly with a cleaning, new thermal paste, and remount.
Coretemp is reporting mid 40C's idle, low 50Cs at 50% load, and ~63C possibly running OCCT in Singapore (where it's probably 80F+ now)? Yeah, sounds like a real disaster to me...
Furthermore, 70C isn't going to harm the chip, 80C isn't going to harm the chip, even 90C+ at stock voltage is not going to damage the chip. Thermal throttling (around 95-100C) and/or shutdown (127C) will kick in before any harm is done at stock speeds and volts. There is no reason not to fire Prime95 to test and see if there is even a problem.
That's some pretty steady advice from Blameless. It is very true that with all of those settings at stock, you only have so much to worry about. There are measures in place to protect hardware in case of installation failures such as this.
I will say though that if there is any thermal paste on there at all, it should really be reapplied and reseated. And while you're at it, you might really want to consider investing in some decent Thermal Paste. Arctic Silver 5, Arctic Cooling MX-2, Shin-Etsu, OCZ Freeze, and many others are reputable pastes with great performance.
Take a look at Cyber Druid's For Sale Thread. He's got some Shin-Etsu for $5 plus shipping (Post #3), and it's some great stuff. It is seriously worth the investment for you. If you buy it now, it should be back at your house waiting for you when you get home fom your trip. And I'm sure everyone who posted in this thread would be more than happy to talk you through it.