1. The appliances are in parallel connection.
2. The potential difference across each appliance should be same as they are connected in parallel.
3. No, the current passing through each appliance is not same. From Ohm's law, the current flowing through each appliance is I=V/R, Since, potential difference across each appliance is same, each appliance can have different resistance and I∝1/R , therefore, the current flowing through them will be different.
4. Domestic appliance are connected in parallel because, even if one or more appliances get faulty or stops working, the working of others will remain unaffected.
5. As the appliances are connected parallel across the supply. The working of other appliances will remain unaffected even if the T.V. stops working.