Is it obligatory to perform the prayer immediately after ablution for urinary incontinence, and does purity become nullified by worldly matters before prayer, and is it necessary to repeat ablution for the Sunnah and supererogatory prayers and for touching the Quran after the obligatory prayer?

The criterion for continuous ritual impurity (salis al-hadath) is its persistence throughout the entire time. If there is a period sufficient for purification and prayer, then the person is not considered to have continuous impurity. However, if the impurity is present most of the time, with irregular interruptions, then it falls under the ruling of continuous impurity according to the Hanbalis.

A person with continuous impurity performs ablution (wudu') after the time for prayer has begun. The Shafi'is obligate performing the prayer immediately after ablution, unless there is a delay for the benefit of the prayer. The majority of scholars, however, do not mandate this.