I'm not sure what presumptive or past presumptive tense means, but for your tenses they should be:
tabete iru - Is Eating
tabete ita - Was eating
tabe rareru - could/can/able to eat (also passive tense)
As for translations of what you wrote, I would say
tabe you to shiteiru 食べようとしている
taberu tsumori/tabeyou 食べるつもり/食べよう
taberu tokoro/toko 食べるところ/とこ
tabemashou/tabeyou 食べましょう/食べよう
but I could be wrong.
I wouldn't worry about cataloging things into words like "presumptive", "past presumptive", "past participle", "predicative adjectives", "reciprocal pronouns", etc. Just understand the meaning of the grammar. It will save you lots of headaches and allow you to learn the language more naturally in my opinion.