Is it permissible to take a break between missed prayers when making up prayers for two days or more, such that, for example, the Maghrib prayer is prayed three consecutive times with a break taken between each prayer, and similarly for the rest of the prayers?

The questioner must repent to Allah for neglecting prayer. He must also make up for the prayers he missed in past years, and he must make up for the two days he did not pray due to ritual impurity. This should be done immediately if he is able; if not, then to the best of his ability. The sequencing of missed prayers is recommended.