I see the pics in that post just fine on my Mac on both Chrome and Safari, I'm running the latest version of macOS High Sierra. If the recommendation SilentStalker didn't work for you, you need to update your operating system. Otherwise, those appear to be pics uploaded to the site itself and should pop straight up, you're not having an issue with linking across to another platform or anything, I even see them just fine when not logged into the site either so shouldn't be an issue there. I'm pretty sure there aren't any account settings that would affect you either, I see no options either way for viewing images in my account settings.
TimeMachine is best done from a dedicated external hard drive, I'm a fan of Toshiba or anything NOT Western Digital for those. A decent 500GB drive will more than cover your basic system and are available in the $60 range, running the fastest USB type available for your ports, so most likely USB 3.0 or higher depending on the age of your Mac.
What model Mac are you using? Clicking the Apple symbol in the top left of your screen and then on "About this Mac" will tell you that. The reason I say to run a backup is I had my system lock up when updating from Yosemite to El Capitan (you're running El Capitan now), and I had to use my TimeMachine backup to get my computer back. Saved my ass.
macOS High Sierra is far better than OSx El Capitan in pretty much every way, you'll appreciate the update and staying on top of security will definitely help you avoid headaches. There have been some very serious discoveries in the three years since your OS was released and have been patched since, from an amateur cyber security guy I cannot recommend more that you update.