sentence 1, Kobe is right. "difficult to do" but "have difficult (in) doing"
sentence 2, "help support" is necessary. You can't delete "help" in this sentence. Because if you delete it, the sentence means you have no other supporting methods, you are living on p-t job. As for grammar, you may add 'to' after 'help', you may not. Either is OK. And 'support' here is not a noun, it's a verb.