Do you mean the schedule function is not working? However, if you setup the Timer or control it via the kasa on/off button, here is no problem to control the HS200?

The modem can't block custom URL address via the DNS server. What's the URL you want to block? The modem has the URL filter settings on the Access management->Filter page.

What's your requirements to the router? What's the model of the AC1900?

Is your firmware the latest one? If not, you can try to upgrade firmware. And you can try to move the HS110 in different power socket to have a check. If you have not used the other clients, you can...

In that case, it's suggested to turn the bulb on and off for 5 times to reset it, if you reset it successfully, you can see it will flashing 3 times after you turn it on/off 5 times. And then you can...

How about use different SIM card into the router? If still the same thing, you can try to contact the tp-link technical support....