Is it permissible to combine the intention of greeting the mosque, the Sunnah of ablution, the Sunnah between the two calls to prayer, and the missed post-prayer Sunnah in two rak'ahs?

It is permissible to share intention among acts of worship that are similar in form, if some of them are not intended for their own sake, or if one of them is intended and the rest are not intended for their own sake. For example, a worshiper can intend with two rak'ahs to perform the supererogatory regular sunnah prayer, the prayer of greeting the mosque, the two rak'ahs of ablution, and the two rak'ahs between the adhan and the iqamah. The supererogatory regular sunnah prayer is intended for its own sake, while for the other prayers, the intention is merely to achieve the act of prayer.