I just replaced the battery in my 2005 Chrysler Crossfire and the engine still will not even turn. Just clicking sounds. Does this battery need to be charged first?

Try this web link.
https://www.youcanic.com/guide/reset-chrysler-crossfire-service-reminder-reset-fss-after-oil-change

No. It has auto lamps.all newer vehicles have them. Some you can turn off. You have to have the light switch in the dash. If it is in the turn signal switch/ column. Your out of luck.

Try using a code reader to reset the CPU and have him reprogram the key correctly as well. Personally I would not buy a car from this person until he had everything fixed properly.

http://shop.ebay.com/i.html?Model%2520Year=2005&_nkw=third%20brake%20light&_dmpt=Motors_Car_Truck_Parts_Accessories&_fln=1&_ssov=1&_trksid=p3286.c0.m282&Make=Chrysler

Check the connections on the battery for corrosion, if ok then check the connections at the starter.

It is most likely to be this problem as your engine starts an shuts down the is a security measure to deter theft.

sounds like the starter silinoed is bad.should be on top of the starter.

It turns out that the fuel pump relay is the problem and that this (per chrysler) is a common problem with the crossfire.

This sounds like one of those interesting problems. What you are going to have to do is find a light bulb type of electrical tester, and a schematic for the wiring on the car (or get a mechanic to do it). When the problem comes up again, you have to find where the power to the module is not coming through a weak connection. It is something that warms up and then breaks connection.
The first thing to do is change the fuses for the engine controls. Fuses are cheap and sometimes they develop a crack that opens when they see a rise in temperature from a heavy electrical load or warm or cold weather changes. Other things that cause problems are the wires that connect to the battery, and splices in those wires which are usually hidden inside a bundle of wires. Also inspect the connectors that hook up to the engine module and make sure the pins are not pulling out from tension in the wires and other defects.
You said it doesn't turn over, so also check the connections at the starter. Sometimes main power is routed through there.

At any Autozone,