I have gum inflammation and have been using mouth and throat antiseptic (chlorhexidine gluconate), should i continue using it?

As in my previous answer to you, see a local dentist to determine the cause of your inflammation. If hardened bacterial deposits (calculus) are present, the calculus needs to be professionally scraped off.

Instead of trying to treat yourself go to a real dentist to be treated and stop trying to treat your self with no results.

You're doing nit backwards. First you diagnose, then your diagnosis will reveal the appropriate treatment plan. You can't just buy a bottle of liquid and open it will create a miraculous cure. See a General Dentist, or preferably a gum/bone specialist, a Periodontist, to identify the cause of your gum disease and thus the appropriate treatment.