It sounds like you have short somewhere in the wiring to your wipers. I would unplug the wiper motor and then start the car and get the battery charged up. Then try to restart the car and if the battery is holding power then you need to track down the short in yoru wipers. Your wipers even though being off maybe is drawing current from your battery making the battery weak. You may want to look at the wiper switch as a possible problem and then the wiper motor to see if you can find the short. Also you might want to check the fuse that is located between the alternator (red wire) and the starter. it is a long black fuse box(2"x1")
You can use either a Group 40R or 96R in a Contour.
BCI code 40R type battery
The battery is the main power supply of the 1998 Ford contour.
read owner's manual
owners manual will tell you
unhook the battery cables for 10 minutes.
According to the 1998 Ford Contour owners manual : Both the 2.0 L and the 2.5 L came from the factory with the Motorcraft BXT-40R battery ( that's BCI group size 40R )
It is on the transducer finagler battery pole lever.
Check the lower end of the engine- follow the + battery cable
According to the 1998 Ford Contour Owner Guide : Both the 2.0 liter four cylinder engine and the 2.5 liter V6 engine came with the ( Motorcraft BXT-40R battery ) * that's BCI group size 40R
Get a new starter...lol.
There are several reasons why a 1998 Ford Contour will not start. The car may not start if the battery is dead, the starter may need replaced, or the head gaskets are blown.