janet
Situation is not as straightforward as it would be in an ideal world. I don't have access to DNS records as neither me nor school is the owner of the domain. It is owned by the ministry of education, telekom.sk is the domain keeper. But what telekom.sk can grant me is the right to ask for a change in settings.
Luckily, the telekom employee I communicate with didn't mind the work and gave the thing a complete check. Here are the results:
"
Takto je nakonfigurovany CISCO ASA5505 kde mate pripojeny server:
BUDM-BUDM EDU1 DSL:172.16.5.160 ASA:192.168.30.78 IC:0687 Základná škola s MŠ, Kpt. J. Rašu 430, Budmerice wifi44/AP1 SW:10.31.55.254
DSL ok, ASA ok, SWITCH catalyst 2960 nepripojeny, NAT je nastaveny nasledovne: //SWITCH catalyst 2960 - non functional
static (inside,outside) 87.197.51.74 10.14.252.5 netmask 255.255.255.255 dns
access-list ACL-OUTSIDE extended permit tcp any host 87.197.51.74 eq ssh
access-list ACL-OUTSIDE extended permit udp any host 87.197.51.74 eq 22
access-list ACL-OUTSIDE extended permit tcp any host 87.197.51.74 range www 84
access-list ACL-OUTSIDE extended permit tcp any host 87.197.51.74 eq https
access-list ACL-OUTSIDE extended permit tcp any host 87.197.51.74 range 5800 5808
access-list ACL-OUTSIDE extended permit udp any host 87.197.51.74 range 5800 5808
access-list ACL-OUTSIDE extended permit tcp any host 87.197.51.74 range 5900 5908
access-list ACL-OUTSIDE extended permit udp any host 87.197.51.74 range 5900 5908
access-list ACL-OUTSIDE extended permit tcp any host 87.197.51.74 eq 8080
global (outside) 1 87.197.51.73
global (outside) 2 87.197.51.78
nat (inside) 0 access-list V-RAMCI-EDU
nat (inside) 1 10.14.252.0 255.255.255.0
nat (wifi) 0 access-list V-RAMCI-EDU
nat (wifi) 2 10.31.55.0 255.255.255.0
"
I planned to translate the spoken parts, but after checking, it kind of seems useless as it seems understandable, sorry if mistaken.
server I see 10.14.252.5 c04a.0007.227e
Answers ping also from the internet.
HTTPS is also available with a text "This web site is under construction" -- this is a correct page to appear; but when entering
https://www.zsbudmerice.edu.sk in a browser, nothing is being loaded, yet when in terminal & pinging both the IP address and domain name, answer appears in both cases.
Anyway, not really sure since when, but it works! External access is possible through
https://87.197.51.74/webmail !
Kind of a puzzling end, maybe some more answers will be given, surely would be nice.
Thx everyone & especially janet for the help!