Yes, 'I'm looking for a job' is correct. 'Seek', in theory, has the same meaning, but it's quite an old-fashioned word that is very rarely used in the spoken language these days. It would sound very strange if you said 'I'm seeking a job' during an everyday conversation. We use 'seek' in more formal written contexts. 'Search' doesn't have the same meaning as 'look for', other than in the context of internet searches. Outside this context, the meaning of 'search' is to examine carefully. For example, 'The police searched the house, but they couldn't find the drugs'. In other words, the object of the verb 'search' is the place where you are looking, not the thing which you are looking for. But we can talk about 'searching FOR something', if it is difficult to find and you have to look carefully - for example 'The explorers went to Egypt to search for hidden treasure.' As for your job - you should just stick to 'looking for'. That's the right word.

look for seek search If I say " I'm looking for a job", is that correct? Yes, it's correct. You are a jobseeker. You can also say 'I've been searching for a job or I've been job hunting/ I am job hunting. You can say 'I am looking or searching for a job' ('looking for' is the most common). But generally people don't say 'I am seeking work', although they might write it in a very formal communication.

Look for is emphasize that the process of looking. Seek is that finding in the amount of things.