To be fair, Cloudflare is one of the best hosting services out there... If you think there's an issue, it's not with them.

On each pool there's a "Pool Stats" section. Notice the highlighted area:

That value tells you when you'll get your next payout, meaning once your balance is equal or greater than said value.

Well, I use teamviewer to log into my computers and do some managing work when I'm not around.

I think LTC and DASH are currently the only ASIC minable currencies here...

You're referring to the "Balance" or to the "Paid Out" field?

You're only paid once you reach the payout threshold. Pool Stats -> Minimum Payout. Once the value in My Stats -> Balance reaches that minimum payout value, it's credited onto your wallet.

You need to put that address in the textbox, and then press apply:

That is correct, that value is actually a summation of share difficulty for all shares that you've...