Should it be "这题问题“？
Nope, for 問題 the classifier is 個 or 條 (I think)。The other way to write the sentence can be 这题有谁能回答？, where 这题 means "This question"
I'm not sure about 条 as can't remember all the specific measure words （量词） now, but 个 and 道 are both correct.
Can we use 会，可以 instead of 能 here? And can it be 可能？
谁可以回答这个问题 should also be accepted.