Praise be to Allah.
We ask Allah, may He be exalted, to heal your father and grant him well-being, and to grant you the best reward for what you are doing for him.
You are doing well by wearing gloves when cleaning him of impurity, because touching the ‘awrah is haraam, and it is essential to use a barrier such as gloves and the like.
It says in Fataawa al-Lajnah ad-Daa’imah (25/283): You will be rewarded – in sha Allah – for what you are doing of serving these disabled people, and cleaning them by washing them and otherwise, but that should be done whilst concealing their ‘awrahs and using a barrier when cleaning them, placing a barrier on the hand such as a glove or wrapper. End quote.
It does not matter if what is motivating you to wear the glove is disgust; rather disgust at touching impurities is something natural.
It is not permissible to look at your father’s ‘awrah except in the case of necessity, such as if you cannot adjust the catheter except by looking.
Looking at the ‘awrah does not invalidate wudoo’.
With regard to cleaning it, you should try hard to clean it whilst covering his ‘awrah and washing away the impurity beneath a barrier of cloth and the like.
We have noted above that it is not permissible to touch his ‘awrah; rather you should wear gloves.
If we assume that touching occurs, then touching the penis and the anus without a barrier invalidates wudoo’ according to many of the scholars among the Sahaabah and the Taabi‘een and leading scholars who came after them, including Maalik, ash-Shaafa‘i and Ahmad.
See the answer to question no. 99468.
If your father is aware of the prayer, then it is obligatory for him and it is not permissible for him to not pray.
You should pray in congregation in the mosque, so long as someone else can be with him while you go to the mosque.
With regard to his becoming distressed if you leave, it does not seem that this is an excuse for not praying in congregation in the mosque.
But if it happens time after time that you see a change in his mood that is more than usual, such as his feeling distressed and the like, then we hope that there will be no blame on you if you pray next to him at those times, whilst striving to put his mind at rest and make him accept your leaving him when need be, such as prayers in congregation and the like, which one has no choice but to do, so someone else should be with him for this short time when you leave him.
See the answer to question no. 8918.
Similarly, it is not permissible for you to not pray Jumu‘ah, if there is someone who can take care of him whilst you go to the mosque. If there is no one, then you are excused for not going to the mosque and you can pray Zuhr with him instead.
He himself is excused for not attending Jumu‘ah if it is too difficult for him to go.
It says in Kashshaaf al-Qinaa‘ (1/495): The sick person is excused for not attending Jumu‘ah and prayers in congregation, because when the Prophet (blessings and peace of Allah be upon him) fell sick, he stayed away from the mosque and he said: “Tell Abu Bakr to lead the people in prayer.” Agreed upon.
Or if someone is afraid that his friend or relative will die before he can get there to see him or tend to him, if the sick person does not have anyone to tend to him instead of him, then [we may note that] Ibn ‘Umar was called, whilst he was preparing to go to Jumu‘ah, to go to Sa‘eed ibn Zayd [who was dying], and he came to see him in al-‘Aqeeq and did not go to Jumu‘ah.
It says in ash-Sharh: We do not know of any difference of scholarly opinion concerning that. End quote.
Shaykh Ibn ‘Uthaymeen (may Allah have mercy on him) was asked: My son is sick and stays in the hospital, and I stay with him; for three months I have not attended Jumu‘ah prayer, because my son is sick and very young. What is the ruling on that?
He (may Allah have mercy on him) replied: There is no blame on you, so long as your son needs you to be there with him, because the sick person’s need for someone to tend to him is one of the things that waive the obligation to attend Jumu‘ah and prayers in congregation for the one who is tending him. But if it is possible for someone else to tend to him while you go to the prayer, then the prayer is not waived from you in that case.
End quote from Fataawa Noor ‘ala ad-Darb (8/2).
It is permissible for the sick person to put together Zuhr and ‘Asr, and Maghrib and ‘Isha’, at the time of the earlier or later prayer, so as to ward off hardship. It says in Kashshaaf al-Qinaa‘ (5/2):
Section on putting prayers together:… It is permissible to put together Zuhr and ‘Asr at the time of either of them, and to put together Maghrib and ‘Isha’ at the time of either of them. These four are the prayers that may be put together: Zuhr and ‘Asr, and Maghrib and ‘Isha’, at the time of either the first or the second of each pair.
… For the sick person, not putting the prayers together may be too hard on him and make his condition worse. It is proven that it is permissible for the woman suffering from istihaadah [irregular, non-menstrual bleeding], which is a kind of sickness, to put prayers together. Ahmad argued that sickness is worse than travelling; he was treated with hijaamah [cupping] after sunset, then he ate dinner, then he put the prayers [Maghrib and ‘Isha’] together.
There is nothing wrong with using your finger to extract [faeces] from your father’s rectum when there is a need for that, on condition that a barrier be used, such as gloves.
It is not permissible to neglect the debts you owe, because that is a kind of wrongdoing. The Prophet (blessings and peace of Allah be upon him) said: “For one who can afford it to delay repayment is wrongdoing.” Narrated by al-Bukhaari (2400) and Muslim (1564).
You have to strive to pay them off, even if you have to appoint someone else to do it on your behalf.
There is a difference of opinion with regard to giving the reward of recitation to your parents. The best is not to do that, and to be content with offering supplication (du‘aa’) for them.
See the answers to questions no. 46698 and 20996.
So long as they taught you and encouraged you to memorize the Qur’an, there is the hope that they will attain the reward of all of your recitation, because the Prophet (blessings and peace of Allah be upon him) said: “Whoever calls people to right guidance will have a reward like that of those who follow him, without that detracting from their reward in the slightest. And whoever calls people to misguidance will have a burden of sin like that of those who follow him, without that detracting from their sin in the slightest.” Muslim (4831).
We ask Allah to heal your father and to increase you in righteousness and goodness.
And Allah knows best.