Is it permissible to make ablution without answering the call of nature after waking up?
Washing front and back openings (Istinjaa`) is not a condition for the validity of ablution because it is done to remove Najaasah (impurity), thus if there is no Najaasah, there is no need for that, and then it is permissible to make ablution without answering the call of nature. However, prayer is invalidated if there is Najaasah on the anus ,or the front opening, so it (Najaasah) must be removed for the prayer to become valid, and not the ablution.
What are the signs of Laylat al-Qadr?
It is said that among its signs are:
● A sense of peace and tranquility during the night.
● The sun rises on the following morning white and without strong rays.
However, one should not be preoccupied with searching for its signs at the expense of worship. Allah has hidden its exact date so that we strive in worship throughout multiple nights, ensuring that we attain its great reward.
Should the Zakah (obligatory charity) giver tell the poor recipient that this is the Zakah of his money?
No, he shouldn`t. But, the Zakah giver should make an intention in his heart that it is the Zakah of his money when paying it to the poor. And Allah Knows Best.
Can I start fasting based on the moon sighting of another country?
You must follow the moon sighting of the country you are in.