I don't know the significance of your directory valence check error, but the report says you should run First Aid on the entire container, NOT just the data volume, to repair it

Did you do that, and if so, what did it report?

And did you run it on the data volume again afterwards, and what did it report the second time?

Didn't you go through a DNS thing a while back?

If you want to try Open DNS, the numbers are 208.67.220.220 on one line and 208.67.222.222 on a second line in System Prefs > Network > Advanced > DNS, but maybe you ought to wait until you hear from your ISP first.

The new Great Equalizer is the SEND button.

In Memory of Harv: Those who can make you believe absurdities can make you commit atrocities. ~Voltaire