I have a 2002 Cadillac Escalade and it takes about 3 to 5 seconds to finally start. Once started it runs great. I replaced the fuel filter and still has problem. Someone mentioned spark plug wires but it runs good when it has finally started. Could it be the fuel pump...but again it runs good when it is started. ??

The Cadillac has an electric fuel pump, and you should check its fuses and relays and ensure you have fuel before inspecting the pump. If your vehicle still has difficulty getting fuel, you can clean or replace the fuel pump.

Things You'll Need:
Fuel pump kit
Fuel tank sending unit wrench
Torque wrench Replace the fuel pump is challenge.
1.Determine which fuel pump your Cadillac Escalade will need. This depends not only on the make and model, but also the engine size. Models built from 1998 to 2000 have a 5.7 L engine, 2002 to 2006 models may have a 5.3 L or 6.0 L engine and models built after 2006 have a 6.2 L engine.
2.Prepare your vehicle for fuel pump servicing. Disconnect the negative battery cable. Relieve the fuel system pressure, drain and disconnect the fuel tank.
3.Disconnect the fuel and evaporative emission lines from the fuel tank. Remove the fuel sender assembly and the seal with a fuel tank sending unit wrench, and pull the strainer off the fuel sender. Remove the fuel pump's electrical connector and its retaining clip from the fuel level sensor. Remove the fuel sensor's electrical connector from the fuel sensor in addition to its retaining clip.
4.Remove the fuel level sensor by squeezing the locking tangs and remove the fuel pressure sensor. Discard the old fuel tank seal and fuel strainer.
5.Install the new fuel pump using the items included in the kit and be to replace the fuel strainer and seal. Use a torque wrench to tighten the attaching bolts for the fuel tank strap to 30 ft. lbs.
The following is the instructions of replacing fuel filter:
The symptoms of a bad fuel filter include a loss in horse power, very sluggish acceleration and, in some cases, difficulty starting. Replacing the fuel filter is always the best policy because you can't reliably unclog a filter. In the Cadillac Escalade, 2002-2006, they replace easily. The 5.3L engine filter replaces in a different way. Manufacturers suggest replacement of fuel filter every 60,000 miles.
Replace the fuel filter is easy.
1.Locate the fuel filter. Normally this is on the passenger side wheel well or just inside the engine compartment. In the Cadillac Escalade, it mounts on the fuel tank and is integral with the fuel pump assembly. Before removal of the filter, disconnect the negative battery cable and relieve the pressure in the fuel system.
2.Lift the vehicle to gain access to the fuel pump assembly. Remove the threaded fittings from the filter and cap the fuel pipes to prevent contamination. Inspect the o-rings on the fuel pipes and replace if deteriorated.
3.Change the filter and reattach the fittings immediately. Tighten the fittings to 18 foot pounds. Remount to the clip and lower the vehicle. Reconnect the negative battery cable and start the ignition. To fill the filter and get gas to the ignition system, turn the ignition on for two seconds and then off for ten seconds. The vehicle should start after this.
4.Replace the fuel filter at the first opportunity. Filters are not serviceable items, they are disposable. Never rely on a clogged fuel filter for any length of time