It is recommended to fast a great deal in the month of Sha’ban. The Prophet Muhammad (peace and blessings be upon him) used to fast the whole of Sha’ban. For more, please see the detailed answer.

1- It is recommended to fast three days each month, and it is best to fast al-ayyam al-beed, which are the 13th, 14th and 15th of the month.
2- There is nothing wrong with you fasting three days in Sha’ban, even if some of those happen to be in the latter half of the month.

Shab e Barat is a bid`ah and there is no celebration in Sha’ban and there is no special act of worship to be performed in mid-Sha’ban or during the last days of the month. For more, please see the detailed answer.

There is no authentic hadith about the virtue of Rajab. The hadith which reads: “Allhumma barik lana fi Rajab wa Sha’ban wa ballighna Ramadan” is weak. However, there is nothing wrong if a Muslim asks Allah to let him reach Ramadan. For more, please see the detailed answer.