effects on temperature depending on room size?

Ok, so right now I have my 1000w setup in a bedroom size room and even with a samsung ac unit on blast, I still have to leave the door open to prevent the temps from getting too high. I'm thinking of moving it all (20 plants) into my closet which is about 9ft long and 2 feet wide but ima have the 1000watt just for flower in half of the closet and the other half for vegging with flouros. My question is is I put a 10 inch fan at the. Top for exhaust and one at the botton for intake, will imy temps be good. I leave my central ac on 75 all day with my room door open

What kind of air flow and freash air do you have. Im in a bedrooom also and mytemps are no higher then 83 degress...

I would keep your temps on the lower side bro, like 72-75 range is optimal. Also, are you air cooling your light?