I have no spleen. Have stomache issues, chills aches headache tiredness. I don't have a high temperature though it's 37. Should I still go see a doc?

Yes, please. you don't need to have high temperature, and it can still be a viral infection. I trust you received the necessary vaccines for your case such as pneumovax. Meanwhile, keep yourself well hydrated, rest and call or see your doctor, good luck.