I just moved into a house where half of the front lawn has been destroyed by
vehicles parking on it. I would like to seed this area and make it look
better. But I have never done this before. I would like the proper steps
(procedure) for seeding a lawn.

There is a pecan tree that has shed its leaves for many years without proper
raking. So it has composted over time to the point of raising the elevation
of the lawn. Due to this the topsoil is very rich and fertile.

Also, I would like to know which kind of grass would grow best in full shade
for half of the day and full sun the rest of the day.

Any help would be appreciated.