Umrah

6 questions

Is it permissible to go to Jeddah and return to Makkah to complete 'Umrah after menstruation, given that she intended to stipulate a condition upon assuming ihram and doubted the timing of her utterance?
Is saying "may it be accepted" to someone who has returned from Mecca considered a bid'ah (innovation) that could lead to disbelief?
Who was the Amir of Mecca after the Messenger of Allah, peace and blessings be upon him, returned to Medina following the Conquest?
To what extent is it permissible to use the crescent moon as a logo for Islamic websites, and is that considered an innovation (bid'ah)?
What is the ruling on wearing a baby carrier that is strapped to the body while performing the 'Umrah pilgrimage?
Why do the phrases of the Talbiyah vary, such as: "Labbayka Umratan (Here I am for Umrah)," or "Allahumma Labbayka Umratan (O Allah, here I am for Umrah)," or "Labbayka Allahumma Umratan (Here I am, O Allah, for Umrah)"? Is each of these phrases based on sound evidence, or are not the wordings of such remembrances fixed (Tawqifiyyah)?