Nothing wrong in the log, I can see that everything initializes properly.
I don't see a browser connection though. When you connect a browser you should see lot's and lot's of SSL handshake related messages.
Please capture another set of logs, restart your node then connect Firefox using https on port 7876 and let it fail, then post the resulting log again.
Also please post the exact error message you received from Firefox.
Then restart the node again, connect using Chrome until loading the signon page and post another log here.
Allright, there is another debug log :http://nxt1.y.cz/nxt-debug.log-20160414.gz
Interestingly, I tried the connect :
* firstly over FF (firefox-45.0.1-2.fc23.x86_64)
* secondly over Chromium (chromium-49.0.2623.108-1.fc23.x86_64)
* thirdly over Gnome Web (epiphany-3.18.5-1.fc23.x86_64)
It has been failed in every cases. This would be related messages from nxt debug :
qtp2030036700-62, fatal error: 80: problem unwrapping net record
java.lang.RuntimeException: java.security.NoSuchAlgorithmException: EC AlgorithmParameters not available
And also Epiphany tells something like : "Peer failed to perform TLS handshake".
Really strange. In any case, many thanks for your help and co-operation, Riker !