thanks for your query, i have gone through your query, the gum infection, bone loss, mobility, pus discharge, could be secondary to deposits around the teeth. if the teeth are very much mobile then there is no meaning in retaining those teeth. the splinting will help to retain the teeth for some days. its better to get your teeth removed and go for fixed or removable prosthesis. you can start with antibiotics after consulting the physician and so saline gargling. i hope my answer will help you, take care.