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Something sounds wrong with the wiring if the whites were pushed in the box and not connected - you should be very careful while you're experimenting - it may indeed be a hazard. It's common for only...

You don't mention if you tried this, but if they're not flashing the first step is to force your phone onto your 2.4GHz SSID to see if it can find the switches. If it does, make sure remote access is...

If the HS100 stops flashing then restart the app - the switch connected ok but the app can't see it and the restart might help. If it won't stop flashing TP Link support will need to help.

No need to test, you only have 2 wires - it's power through fixture wiring (look it up online). You simply cannot use a smart switch there unless you run a new wire for neutral. This looks like a...

That looks like power through fixture lighting - you don't have a neutral wire available (the white is power coming from the fixture). You can't use a smart switch there without adding a neutral wire...