(1) Need god make sense? (facetious, I realise, but not wholly unreasonable)
(2) As you point out, you have not been exposed to many apologetics of other faiths. While the reasonableness of the Christian god may work in favour of accepting that god, it does not, in the absence of knowledge of the philosophical underpinnings of other faiths, explain why you reject (/do not accept) other deities or theological systems.
(3) And what of the apocrypha which have been conveniently cast aside? Surely you could take other holy texts and go about the task of hedge clipping until a reasonable degree of coherence similarly emerges.
(4) You seem to beg the question here since you argue for the possibility of the supernatural by assuming the existence of supernatural events. I say 'assuming' because, to take one example, the notion that demons are, in fact, being excised is very controversial. To simply assume that demons exist, and can possess individuals, and can be cast out through the appropriate rituals is to bypass the critical arguments (about the very existence of the supernatural) and thus, I contend, to beg the question. I do not deny that events may well have taken place with an appearance that is consistent with the exorcism of evil entities, but to quickly jump to the conclusion that an exorcism has actually taken place is, in my mind, poor intellectual practice.