92 Accord LX, Starts, runs for awhile, dies

Ok, here's the deal. I was driving down the interstate around 80 miles an hour, when my car suddenly lost power. I dropped down to around 50 miles an hour then it kicked back on for about 10 seconds. The same thing happen about 4 times after that. Finally it kicked back on for the rest of the trip home. This was like 4 miles away. Someone then borrowed my car about 4 days later, it hadn't been driven since, and it died about 3 miles away.
I was recommended to replace the fuel filter, I did that. I started the car and it ran for about 5 mins then died. And I tried to start it again and it ran for about 5 seconds this time. This repeated then wouldn't start again till the next day.
I then replaced the main relay and the same thing happen again! What could it be?
oh yeah, i also pulled the plugs and 2 were drinched in oil, one was damp with oil, and the other bone dry. This was after I tried to start the car for like 15 mins. Please Help!

Fuel filter

Check the fuel pump. Sounds like a fuel delivery problem and you already changed the filter (the most common problem). Oil fouling on the plugs is not a good sign either.

dude i got this same problem im taking it to the dealership this coming week but atleast yours will start im waiting to go get a starter so i can atleast start it i will let you kno what they do to it when i get it back honda dealership wanted $286.90 for a starter i laughed in the dudes face n said im goin to autozone hahaha peace

aight i fixed my car
kinda hard to explain but if yu wanna know what i did i can e-mail you pics if yu want em and show yu how i did it (it was qick and simple also free)

goto advanced auto parts and buy yu a ignitor and a coil it cold either be one of the 2 but check to make sure yu got fire to the plugs 1st (mine had fire to the plugs when it felt like it)