yes
Yes. "Will eat" is a verb phrase, qualifying it as a verb in the future tense.
yes it is a verb
eat is already a strong verb (verb which forms its past tense without enclitic '-ed'): I eat, I ate; walk is weak: I walk, I walked; but 'go' is strong: I go, I went. The strongest word for EAT is...
To Eat= Comer I eat= Como You Eat= Comes He/She/It eats= Come We eat=Comemos They/ you all eat= Comen