Should one who doesn`t perform prayer out of laziness make it up later, and how should he/she do so?
All perfect praise be to Allah,The Lord of The Worlds He/she is obliged to make up missed prayers by offering with each obligatory prayer another one, and if he/she offers two, then it is better. And Allah Knows Best.
Is it permissible for a woman who broke fasting due to a delivery to pay a ransom?
She should make up for the missed fasting days once she becomes ritually pure, but it is impermissible for her to pay a ransom while being able to fast.
Is touching a non-Mahram woman invalidates person's ablution?
Touching non-Mahram woman is prohibited, and according to the Shafiee's, it invalidates the ablution. And Allah Knows Best.
A person bought a device through a usurious bank, and receives income from it every month after paying the bank for the price. Now the person regrets it, what should he do now?
This person has fallen into what is forbidden due to dealing with usury. He must repent sincerely, and whoever repents, Allah Will Accept their repentance. As for the device, there is no need to sell it. And Allah Knows Best