Still no go.. Doesn't take my credentials and when I'm trying to check any apps at the App Store, it gives me "This page is temporary unavailable".
Here's the log -
1602422365.972 23668 ::1 TCP_TUNNEL/200 5924 CONNECT qtpartners.apple.com:443 - HIER_DIRECT/17.179.32.233 -
1602422408.043 30963 ::1 TCP_TUNNEL/200 12863 CONNECT query.ess.apple.com:443 - HIER_DIRECT/17.167.225.11 -
1602422436.470 0 ::1 NONE/200 0 CONNECT p09-fmip.icloud.com:443 - HIER_NONE/- -
1602422563.623 294 ::1 TCP_TUNNEL/200 6410 CONNECT upp.itunes.apple.com:443 - HIER_DIRECT/104.79.198.100 -
1602422578.732 284 ::1 TCP_TUNNEL/200 6410 CONNECT upp.itunes.apple.com:443 - HIER_DIRECT/104.79.198.100 -
1602422685.355 246 ::1 TCP_TUNNEL/200 6410 CONNECT upp.itunes.apple.com:443 - HIER_DIRECT/104.79.198.100 -
1602422854.712 0 ::1 NONE/200 0 CONNECT wowfunhappy.com:443 - HIER_NONE/- -
1602422855.894 1090 ::1 TCP_MISS/503 389 GET
https://wowfunhappy.com/ - HIER_DIRECT/98.124.199.65 text/html
1602422855.957 0 ::1 NONE/200 0 CONNECT wowfunhappy.com:443 - HIER_NONE/- -
1602422856.175 217 ::1 TCP_MISS/503 389 GET
https://wowfunhappy.com/favicon.ico - HIER_DIRECT/98.124.199.65 text/html
1602423219.258 100 ::1 TCP_TUNNEL/200 36345 CONNECT init.itunes.apple.com:443 - HIER_DIRECT/104.79.198.100 -
1602423219.548 267 ::1 TCP_TUNNEL/200 6410 CONNECT upp.itunes.apple.com:443 - HIER_DIRECT/104.79.198.100 -
1602423224.643 795 ::1 TCP_TUNNEL/200 6786 CONNECT p46-buy.itunes.apple.com:443 - HIER_DIRECT/17.36.202.35 -
1602423227.752 3091 ::1 TCP_TUNNEL/200 2704 CONNECT p46-buy.itunes.apple.com:443 - HIER_DIRECT/17.36.202.35 -
1602423234.815 0 ::1 NONE/200 0 CONNECT s.mzstatic.com:443 - HIER_NONE/- -
1602423235.055 198 ::1 TCP_MISS/200 2925 GET
https://s.mzstatic.com/sap/setupCert.plist - HIER_DIRECT/104.79.198.100 text/xml
1602423235.088 24 ::1 TCP_TUNNEL/200 46 CONNECT play.itunes.apple.com:443 - HIER_DIRECT/72.246.151.216 -
1602423242.702 4949 ::1 TCP_TUNNEL/200 1819 CONNECT p46-buy.itunes.apple.com:443 - HIER_DIRECT/17.36.202.35 -
Uh, just to clarify - I'm using Mavericks machine