Prayer When Ill

• Is it permissible to rescue an injured dog and shelter it temporarily with the intention of selling it later, and is prayer valid in this situation?
• How can my cousin, who has severe burns and is wrapped in bandages, perform ablution (wudu') and pray during her long period of treatment?
• What is the ruling on prostrating while using one's hand for support to relieve pressure on an injured spot on the forehead, and is the prayer accepted with that?
• What should one do if they find an insect with a broken leg due to being stepped on; should they kill it or leave it, especially if it is a "praying mantis" or an ant?
• When is it obligatory to make up prayers (qadaa') if one has wiped over a splint (جبيرة)?
• Is it permissible for the Imam of the mosque to ask the congregants to supplicate for a sick or injured brother or one in need during their prostrations (sujud), before or after the establishment of the prayer?
• Is partial ghusl from janabah, and praying with it, considered valid if it is not possible to wash the entire body due to circumstances of accident and illness, based on the Almighty’s saying: ﴿So fear Allah as much as you are able﴾, and is it obligatory to repeat the prayer?
• What is the ruling concerning a maternal aunt, ninety years of age, whose mind is sound, but who neither remembers Allah nor prays, and knows nothing but insults, bearing in mind that she was like this before she injured her leg?
• What is required of a woman who was injured in an accident and fell into a coma for one month and five days, and then for three months was unable to perform the prayer properly?