hello and welcome to hcm forum,
i would like to inform you that bleeding gums
with pus discharge is a clear sign of 'periodontitis',
it is a condition which can be associated with a number of factors like poor oral hygiene
, other systemic condition,
The blood & pus oozing is following infection and inflammation of the gums and other deeper tissues which support the teeth.
I advise you to visit a dentist
and get a professional full mouth scaling done ,
use an antibacterial mouth rinse(twice/day),
maintenence of proper oral hygiene and regular follow ups with your dentist is must .
for skin and joints related problems i would recommend you to see a dermatologist
and a physician soon.
i hope i answered your query.
i wish you good health.