hiii ,

if you are refilling the jee mains 2022 form then just fill the correct name and there will be no problem , but if you have filled the jee 2022 form then look for the correction window to open and correct you fathers name otherwise there may be a problem , the name of your father should match in both the documents

for colleges form jee rank use the free jee college predictor - https://engineering.careers360.com/jee-main-college-predictor?ici=cp-listing_engineering&icn=JEE-Main-College-Predictor