???-----The man appears to have the 2 cylinder motor.-----There is no way to use a big hammer to make a 3 / 4 / 6 cylinder trim / tilt unit fit on it !!!
No other fluids.----There are some grease fittings.-----There is no gasket between lower unit and exhaust housing.-----Inspect thermostat.---Inspect ignition coils.------Do compression test for future reference.----Post your numbers here.
Those trim / tilt relays ( $25 ) are available all day long.-----I say you have a wiring problem and there is nothing wrong with the new or old relays.
My local NAPA guy put the Sierra parts book on the counter and said.---" I have no idea where to look or what to look for , just tell me the number and I will order it for you "
Model # of your motor ?-----If it has a primer valve, then your fuel pump is providing fuel pressure to it.----So your fuel pump is indeed working.----Sounds like carburetors need cleaning.