Experiencing signs of haidh without seeing blood

Q: During the time of the month when a woman is expecting her period, she sees a small discharge of blood at night. She also feels what seems like the beginnings of period cramps. She assumes it is her period, doesn't pray isha, goes to sleep and wakes up in the morning, doesn't pray fajr. Later in that day, she goes to the bathroom and sees no blood, though she feels cramps. At this point does she have to pray? Does she have to make up the isha and fajr prayers she did not pray assuming she was on her period?

What if her she sees blood again later in the day?

Washing an impure jug

Q:

1. If some impurity gets in a water jug that is used to purify one self after using the bathroom, is it alright to simply wash the jug by filling it up under running water and pouring it out?

2. Does one have to do this three times?

3. Does one have to wait until there is no more water dropping from it after pouring it out before refilling it again?

Working in a bank

Q: I am working in the IT sector for a bank. Is this permissible? I create the process of how share holder request are routed from beginning to end with automation. I am not directly working with any customers. If it is not permissible should I quit right away and look for another job? I have already started applying as soon as I realized it may not be permissible.

Premarital relationship

Q: I want to marry a boy whom I love and he wants to marry me too but the problem is that his parents do not agree. It feels like they have someone else from their family in mind. We are both helpless Is there anything that we can read to get married?

Signing on behalf of someone

Q: Is it permissible to sign something in someone else's name if they give you permission?

For example, my younger sister needs my parents to sign something for school and my parents are not in the city. If my mother gives me the permission to sign the paper in her name because she is unable to, is this permissible?