You need 4.
get the car to start / try filling the engine ...You're using try within a suggestion, so the -ing form is the best choice. Both 2 and 4 have filling, but you can't use 2 because the grammar of get is that you need get [noun] to [verb].
Infinitives have the base form of the verb with to: to try, to fill, ...
Gerunds are the -ing forms (used as a nouns): trying, filling, ...
CJ
From the viewpoint of auto mechanics, I don't think either answer is correct!