No, F1 cars are not the same. While their design is governed by a complex set of regulations which determines their overall dimensions, minimum weight etc etc each team uses a unique design of car.
How long do F1 engines last?
F1 engines usually need to last for around 7 races. Each driver can use 3 per season without being penalized, but this total needs to cover practice and qualifying sessions as well. This means the engines usually need to last at least 1500 miles (2400 km), but more likely around double that.
Do F1 cars have a clutch?
F1 cars do have a clutch, but not in the same way that your manual car has a clutch. Their clutches operate automatically for the most part, but they can be operated manually at the start of the race.
Why does an F1 engine cost so much?
They are bespoke power units and are appreciably expensive because the F1 market is very small. The power unit teams have substantial engineering staff, possess massive computing capabilities, work in large buildings and have many people to fill those roles.