Hi Szymon,
have you checked other ports usage than 8080? Usually tomcat requires four ports:8080 and 8443 for external connection; 8009 and 8005 for internal.
See SAP note 1536119 - Port assignment in the B1 Integration Component landscape
So another port than 8080 might be unavailable here, check via telnet for canditates such as antivirus.
best, peter