1998 Chevy Cavalier ?

Question: 1998 Chevy Cavalier / Hubby changed Batt. then everything went
wrong.
Dash lights=ABS,Brake,Air Bag,Antitheft, and when I touch the brake it boggs
down, and won't change out of 1st. Went to auto parts for diagnosis. Code
results =P1860 Man.Contrl. Trans./P0758 Shift Solenoid B Circuit
Electrical/P0753 Shift Solenoid A/ Circuit Electrical/P0480Cooling Fan 1 Control
Circuit.
The same day he said the cooling fan wasn't even hooked up and he hooked it
up. Help it's our only car and he seems so lost.