Swollen and tender gums. My tonsillitis?

I've had tonsillitis for the past week and I started my antibiotic regime for the same since the 11th of Jan.. I'm getting better but over the days my gums feel swollen and extremely sensitive, my premolars feel mobile and I'm experiencing food lodgement almost everywhere. I have two root stumps, I planned to extract as soon as my tonsillitis healed and now just over the past few days the gums around my root stumps feel swollen and tender and also the gums around my last molars feel extremely tender. I'm confused whether this a dental issue in itself or is it all because of my tonsillitis? I'm taking augmentin and bifillac twice a day for my Tonsillitis for five days and I've taken dolo 650 thrice a day for two days.