Where the bricks were should be no problem - grass should regrow. If not, a handful of seed would do the trick.
Vehicle marks could be more troublesome - depending on your soil, compaction could affect the structure long-term. You could spike the area to promote drainage, fill in with fresh soil and reseed the grass. Probably better in the spring as everywhere is waterlogged now. To plant something other than grass, it would probably be best to dig it over, incorporating grit or gravel to promote looser texture before planting.
Hope this helps.