For an outboard
that has sat unused for a while I do the following.
Pull the spark plug
and check for spark with the pull start. It usually does.
Reinstall with a new sparkplug.
Set the choke and TRY to flood it til you smell gas. It usually doesn't. Of course this means the carb is gummed up, so disassemble and clean all including fuel lines. Might as well install new inline filter if it has one.
Don't start the process until you have a known good, fully charged battery.
The electric start issue is secondary in my mind and may even resolve itself by the time you get it starting by hand. And no sense abusing that system if it doen't hand start easily.