Car is not getting fuel/won't start - !!READ ALL DETAILS!!

I have a 95 Toyota Corolla DX and I have problem starting up the car.

Here's what I have done so far on this car:
- Current odometer mileage shows about 114,000
- Battery was dated 10/2014 (so it's brand new)
- The fuel filter was changed about four months ago (odometer shown as 108,000)
- Replaced alternator+belt the same date I replaced the fuel filter
- The EFI relay was changed last month
- Oil change last month as well including oil filter
- Fuel injector was cleaned
- Replaced fuel pump about two weeks ago (about 113,000 on odometer)

What my car does right now:
- Fully cranks but the engine won't fire up (so there's no problem on the starter/I have confirmed my car is getting sparks/battery is fully charged/alternator unit spins perfectly fine)
- When sprayed starter fluid into the air filter and/or carburetor the engine fires right up but then dies briefly. (I have tried to floor the gas, but the engine still stalls)

One more thing, there's a burnt connection (plus carbon buildup) on the female connection on the fuel pump bracket. I have "fixed" it by using a paper clip as a replacement connection. It works fine for about 1,000 miles (yes I was traveling long distance). It might be the connection to the fuel pump but just in case I replaced the whole connection assembly and my car still won't getting fuel. What would be the main issue why my car won't start?

I'm trying to get it fixed ASAP, since I have missed several days of work. There's no transit near my area and my friend don't live in the area.