Nginx – Using Haproxy as TCP frontend to Nginx (SSL), OpenVPN and OpenSSH. Timing out, no connection

I'm trying to configure Haproxy to run on public port 443 and send TCP traffic to the right place as follow:

• 2 Nginx instances with SSL termination. Traffic router to either depending of hostname. All web traffic is over HTTPS.
• OpenVPN
• OpenSSH

I think my config is pretty close, but somehow I can't get it to work. My web requests just timeout.

What am I doing wrong?

global
  log /dev/log  local0 debug # TURN OFF DEBUG!
  log /dev/log  local1 notice
  #log loghost   local0 info
  maxconn 1024

defaults
  log   global
  mode  http
  option   httplog
  option   dontlognull
  option   tcplog
  retries  3
  option redispatch
  maxconn  2000
  timeout connect  5000
  timeout client  50000
  timeout server  50000

listen HAProxy-Statistics
  bind *:1936
  mode http
  option httplog
  option httpclose
  stats enable
  stats uri /
  stats refresh 10s
  stats show-node
  stats show-legends
  stats show-desc Haproxy Frontend
  stats auth admin:admin

frontend ssl_relay
  bind 0.0.0.0:443 name frontend-ssl
  mode tcp
  option tcplog
  option socket-stats
  # option nolinger
  maxconn  300
  log /dev/log local0 debug # overkill! turn this off when not needed

  tcp-request inspect-delay 5s
  tcp-request content accept if { req_ssl_hello_type 1 }

  use_backend https_one if  { req_ssl_sni -i home.example.com }
  use_backend https_two if  { req_ssl_sni -i nc.example.com }
  use_backend openvpn   if !{ req.len 0 }
  use_backend openssh   if  { req.len 0 }
  default_backend https_one

backend https_one
  mode tcp
  server home-https-server 10.0.0.4:4443 send-proxy

backend https_two
  mode tcp
  server nc-https-server 10.0.0.4:4444 send-proxy

backend openvpn
    mode tcp
    server openvpn-server 10.0.0.4:1194

backend openssh
    mode tcp
    server openssh-server 10.0.0.5:22