Yes that is possible. If you are Core Circle member then you are eligible for election in that Circle. No restriction in the Constitution on the number.

Guess your second part feels as a Tension that you experience. If the interests compete then it is up to the Role filler, based upon the Purpose, to decide. Off course you can process your Tension to see what comes out. If the conflict causes harm then you can always ask for new elections in one of the Circles.