If you jump into cpanel and check the "Http CPU Usage Statistics" you'll see it's showing CPU is way higher than normal for realtime (cpu time used); that's likely why it's causing the Resource Limit Hit message.
Beyond that though, it means something on the site is using a lot of CPU, causing you to hit the limit specified for free hosting very quickly. Even though it resets every hour, it's simply using it all up again.
If you installed anything recently, I'd remove or disable it via cpanel, and see if that fixes the problem. Otherwise, start working through what you've got installed, and try removing a few scripts that are in use, and see if the problem goes away - something's definitely using a lot of cpu.
