Yes, you can log in without the internet by dialling 01133260606 (Only to log into phone tool) from your registered mobile number.
If you are logging in from the web, you will appear online on all the tools selected by you in the 'Tools & charges' section.
If you have chosen ONLY one tool, then you will appear online for that particular tool. Otherwise, if you have chosen multiple tools for users to connect with you, you will be automatically be shown as online in all tools when you log in.