Is it possible to have different closing rules for different change types ?
SDP out of the box has change types of 'standard' 'minor' and 'major'. Standard changes auto approve and by definition (in my view) do not necessarily need the same level of detail (closing rules) to be completed before being closed. For example a standard change might not need a review, or rollout plan.
As an aside - your product is ITIL aligned but the change types you use do not match ITIL v3 - they should be 'standard' 'Normal' and 'Emergency' (and not minor and major). Are you going to change SDP to align with ITIL in this terminology.