mhttpd running as non-root cannot bind to standard https port 443. By default, mhttpd uses port 
8443 and it works just fine, but some applications such as the SSLlabs https tester insist on using 
port 443.

To connect mhttpd with port 443, I use the tcpproxy package from
git://git.spreadspace.org/tcpproxy.git

./tcpproxy -D -U -p 443 -r localhost4 -o 8443

(you can run this from rc.local)

(to remember, for best security one should run mhttpd behind an industry-standard https proxy)

K.O.