Pfsense 2.3.4 + Squid 0.4.36.4 state of art
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 Since is not clear which mode is working and how, I'd like make some clearance about it. 
 I post my tested confs, I was able neither to get non transparet/https mode work, neither if it possible to get it work . please let me know any suggestion.
 I assume simple configuration. i.e. no WPAD, nor safe search.Clients PC 
 DNS server: set to pfsense/squid IPSquid 0.4.36.3 package Transparent mode 
 http: working
 https: working
 Configuration:
 - Squid General Settings
 Enable Squid Proxy: checked
 Keep Settings/Data: checked
 Proxy Interface(s): LAN
 Proxy Port: 3128
 ICP Port: empty
 Allow Users on Interface: checked
 Resolve DNS IPv4 First: checked
 Disable ICMP: UNchecked
 Use Alternate DNS Servers for the Proxy Server: empty-Transparent Proxy Settings 
 Transparent HTTP Proxy: checked
 **Transparent Proxy Interface(s):**LAN- SSL Man In the Middle Filtering 
 SSL/MITM Mode: Splice All
 SSL Intercept Interface(s): LAN
 **SSL Proxy Port:**3129
 SSL Proxy Compatibility Mode: Intermediate
 DHParams Key Size: 2048 (default)
 CA: CA_TEST
 **SSL Certificate Deamon Children:**5
 Remote Cert Checks: Accept remote server certificate with errors
 Certificate Adapt: Sets the "Not Before" (setValidBefore)Non Transparent mode 
 http: workging
 https: NOT working Configuration: same as above exept
 - Transparent Proxy Settings
 Transparent HTTP Proxy: unchecked