Engaging in the remembrance of Allaah

Is it permissible to engage in the remembrance of Allaah whilst not in a state of wudhoo – such as [when uttering the] takbeer [الله أكبر], tahleel [لا إله إلا الله] and tahmeed [الحمد لله], as well as sending prayers and salutations upon the Messenger (sal-Allaahu ‘alayhi wa sallam)?

Fasted the whole day and saw three drops of menses blood

Does the passing of wind (flatulence) from a male and female necessitate washing the affected area with water? And what is required of the woman from whom three drops of blood came out at the expected time of the onset of her menses whilst she is fasting and then stopped?