A 23 year old homosexual man presents with weight loss, chronic diarrhoea

A 23 year old homosexual man presents with weight loss, chronic diarrhoea, and progressive dementia. On examination, he has a reddish papule on his gum. Select the most appropriate investigation.

a. VDRL
b. HIV serology
c. Neisseria gonorrhoeae
d. IBD screening
e. Coeliac disease screen.