WILL NOT START, BATTERY AND STARTER ARE GOOD. WAS THOUGHT MAY BE FUEL REGULATOR - FUEL FILTER - FUEL PUMP WHEN KEY IS TURNED, IT JUST CLICKS.

Check the fuel pressure - sounds like a malfunctioning pressure regulator.

Sounds like fuel regulator sensor.

Disconnect your fuel filter and turn the key on. If it shoots gas several feet away, then the start cycle on the fuel pump is probably good. if not, then get a new fuel pump. If it's good, then the problem will be in your fuel regulator, or injectors.

It seems your ignition switch has burned out - verifying good starter operation was an important component in furthering your diagnosis effort. The ignition switch is really a relay separate from the ignition key cylinder - when it fails to send battery voltage to the starter motor, you'll have the no-start condition described.
See the Honda Ignition switch replacement illustration below.

Just for completeness' sake, here's the generic response of a mechanic to a vehicle's no-start condition:

Priority Action Part Type Cause
1 Inspect Ignition Switch - Improperly Connected or Faulty Ignition Switch.
2 Inspect Battery - Battery Discharged or Faulty.
3 Inspect Battery Cable - Coroded, Broken, Shorted or Poorly Connected Battery Cable.
4 Inspect Solenoid - Starter Solenoid Faulty.
5 Inspect Starter - Starter Motor Faulty.
6 Inspect Wireset - Worn or Damaged Spark Plug Wires.
7 Inspect Ignition Coil - Faulty Ignition Coil.
8 Inspect Distributor Cap - Loose, Cracked or Worn Distributor Cap.
9 Inspect Spark Plug - Incorrectly Gapped or Fouled Spark Plug(s).
10 Inspect Distributor Rotor - Loose, Cracked or Worn Distributor Rotor.
11 Inspect Fuel Tank - Fuel Tank Empty.
12 Inspect Carburetor - Worn, Faulty or Damaged Carburetor.
13 Inspect Fuel Pump - Faulty Fuel Pump.
14 Inspect Choke - Stuck or Improperly Functioning Choke.
15 Inspect Fuel Filter - Clogged or Dirty Fuel Filter.
16 Inspect Fuel Pump Relay - Faulty Fuel Pump Relay.
17 Inspect Fuel Injector Pressure Regulator - Faulty Fuel Injector Pressure Regulator.
18 Inspect Fuel Pump - Low Fuel Pressure.
19 Inspect Engine Control Computer - Incorrect Operating Information Being Delivered and Sent From The EEC.
20 Inspect Fuel Pump Strainer - Clogged or Dirty Fuel Pump Strainer.

Illustration courtesy honda-tech.com (from 1994 Honda Civic EX manual).

http://honda-tech.com/showthread.php?t=2577784

For 1999 Buick LeSabre - but you took #1 off the list, so here's the whole "failure to start" list:

Priority Action Part Type Cause
1 Inspect Battery Battery Discharged or Faulty.
2 Inspect Battery Cable Corroded, Broken, Shorted or Poorly Connected Battery Cable.
3 Inspect Distributor Cap Distributor Cap Cracked or Burned.
3 Inspect Fuel Filter Clogged or Dirty Fuel Filter.
5 Inspect Ignition Coil Faulty Ignition Coil.
6 Inspect Wireset Worn, Damaged or Faulty Spark Plug Wire(s).
7 Inspect Spark Plug Incorrectly Gapped or Fouled Spark Plug(s).
8 Inspect Starter Starter Motor Faulty.
9 Inspect Fuel Pump Low Fuel Pressure.
10 Inspect Starter Relay Faulty Starter Starter Relay
11 Inspect Fuel Pump Relay Faulty Fuel Pump Relay.
12 Inspect Fuel Injector Pressure Regulator Faulty Fuel Injector Pressure Regulator.
13 Inspect Ignition Switch Improperly Connected or Faulty Ignition Switch.
14 Inspect Starter Motor Faulty Starter Motor
15 Inspect Fuel Injector Dirty or Worn Fuel Injectors.
16 Inspect Fuel Pump Strainer Clogged or Dirty Fuel Pump Strainer
17 Inspect Engine Control Computer Incorrect Operating Information Being Delivered and Sent From The EEC.
18 Inspect Fuel Tank Fuel Tank Empty.
19 Inspect Carburetor Carburetor Flooded or Faulty Choke.
20 Inspect Distributor Rotor Distributor Rotor broken, burned contacts, or loose
21 Inspect Distributor Worn, Loose, or Incorrectly Installed Distributor.

Did you check the voltage to the pump to insure it was getting full power? Check the fuel pressure regulator? Also take a manual fuel pressure reading. A faulty crank sensor will also cause a no start condition.

The pin on the back side of the key may be sheared or the "push" lever may not be moving. Lower your steering column to check.

You either have a bad starter or ignigtion switch. When you turn the key on does everything else come on? I would check the starter first if you have power to everything.

1 Inspect Battery Battery Discharged or Faulty. 2 Inspect Battery Cable Corroded, Broken, Shorted or Poorly Connected Battery Cable. 3 Inspect Fuel Filter Clogged or Dirty Fuel Filter. 3 Inspect Distributor Cap Distributor Cap Cracked or Burned. 5 Inspect Coil - Ignition Faulty Ignition Coil. 6 Inspect Wireset Worn, Damaged or Faulty Spark Plug Wire(s). 7 Inspect Spark Plug Incorrectly Gapped or Fouled Spark Plug(s). 8 Inspect Starter Starter Motor Faulty. 9 Inspect Fuel Pump Low Fuel Pressure. 10 Inspect Solenoid Switch Faulty Starter Solenoid Switch. 11 Inspect Relay - Fuel Pumpat Faulty Fuel Pump Relay. 12 Inspect Fuel Injector Pressure Regulator Faulty Fuel Injector Pressure Regulator. 13 Inspect Ignition Switch Improperly Connected or Faulty Ignition Switch. 14 Inspect Starter Drive Faulty Starter Drive. 15 Inspect Fuel Injector Dirty or Worn Fuel Injectors. 16 Inspect Fuel Pump Strainer Clogged or Dirty Fuel Pump Strainerat. 17 Inspect Engine Control Computer Incorrect Operating Information Being Delivered and Sent From The EEC. 18 Inspect Fuel Tank Fuel Tank Empty. 19 Inspect Carburetor Carburetor Flooded or Faulty Choke. 20 Inspect Distributor Worn, Loose, or Incorrectly Installed Distributor.

fuel pump can be out or starter is going out turn key over and listen for click in tank for fuel filter to turn on