In the comics, it's a complex situation. Different storylines might have different outcomes, but as of the common ones, no one has directly killed Homelander.
Well, Homelander is a complex and often self - centered character. If he were in an Avengers fanfiction, he might initially see the Avengers as a threat to his own status. He'd probably try to assert his dominance over them, thinking he's superior. He could start by showing off his powers, like his super strength and laser eyes, to intimidate the Avengers. But the Avengers, being used to dealing with powerful foes, would likely see through his bravado and not be easily cowed.
Definitely. The comic version of Homelander is portrayed as having greater strength and capabilities. This is evident in his confrontations and the scale of his power displays throughout the comic series.