EII-INFj / INFP / Strong E4 and 9 energy / Melancholic-Phlegmatic / Musical-Intrapersonal-Spatial / Kinky-Sensual
Prolly IEI; the way you approach things and "mull over them" reminds me a bit of my dad, who is a ILI, except your approach doesn't seem as analytical or detached. Therefore, I believe that Fe feeds into your Ni, leading to your type being IEI.
I think you have typed yourself correctly: EII
A true sense-perception certainly exists, but it always looks as though objects were not so much forcing their way into the subject in their own right as that the subject were seeing things quite differently, or saw quite other things than the rest of mankind. As a matter of fact, the subject perceives the same things as everybody else, only, he never stops at the purely objective effect, but concerns himself with the subjective perception released by the objective stimulus.
(Jung on Si)