Can I say it like these

Dear Teacher

Hi CJ you missed one of my question

Is the heat acting as adjective in this context "There's only a slight heat increase on the bottom of the computer" ?

From my opinion it's adjective, because if it's an object (noun) here the incease would be "increasing" or "which is increasing" or "which increases"

So am I right about this

Thanks

Hi CJ

why wouldn't these work " "There has not been any problem that happens to me" No. and "There has not been any problem happening to me" No. and "There has not been any problem happened to me" No. ) " while there're like these (source nytimes.com) ''Right from the beginning, every day there have been people calling and coming to our house, "Ever since there have been pop stars, there have been people charged with making them sound their best"

 Waiting for your explanation

Thanks so much